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### How To Determine The Discriminant of a Quadratic Equation

How To Determine The Discriminant of a Quadratic Equation

How To Determine The Discriminant of a Quadratic Equation

### Discriminant review (article) ^{[1]}

– Worked example: quadratic formula (negative coefficients). The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac

The is the part of the quadratic formula under the square root.. The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

– A discriminant of zero indicates that the quadratic has a repeated real number solution.. – A negative discriminant indicates that neither of the solutions are real numbers.

### A Complete Guide to the Discriminant of Quadratic – mathsathome.com ^{[2]}

The discriminant is the part of the quadratic formula found within the square root. For a quadratic of the form a𝑥2 + b𝑥 + c, its discriminant is b2 – 4ac

The discriminant, b2 – 4ac is represented by the delta symbol, Δ.. The discriminant formula is Δ = b2 – 4ac, where a is the coefficient of 𝑥2, b is the coefficient of 𝑥 and c is the constant term of a quadratic.

We substitute the values of a = 1, b = 5 and c = 2 into the formula for the discriminant, b2 – 4ac.. The discriminant is important because it tells us how many solutions any quadratic equation has.

### Discriminants and determining the number of real roots of a quadratic equation ^{[3]}

A discriminant is a value calculated from a quadratic equation. It use it to ‘discriminate’ between the roots (or solutions) of a quadratic equation.

Note: This is the expression inside the square root of the quadratic formula. If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.

If the discriminant is greater than zero, this means that the quadratic equation has no real roots.. Therefore, there are no real roots to the quadratic equation 3×2 + 2x + 1.

### Which Of The Following Statements Are True Of The Discriminant — I Hate CBT’s ^{[4]}

Question: Which of the following statements are true of the discriminant?. Answer: The discriminant is b 2 – 4ac in the quadratic formula.

The discriminant is the value under the radical in the quadratic formula.. Question: Use the discriminant to describe the roots of each equation, selecting all answer options that apply.

Question: Use the discriminant to describe the roots of each equation. Question: Use the discriminant to describe the roots of each equation, selecting all answer options that apply.

### SOLVED: Which of the following statements are true of the discriminant? The discriminant is b2 – 4ac in the quadratic formula. The discriminant is the denominator in the quadratic formula. The discrim ^{[5]}

Get 5 free video unlocks on our app with code GOMOBILE. Which of the following statements are true of the discriminant? The discriminant is b2 – 4ac in the quadratic formula

The discriminant is the radicand of the quadratic formula. The discriminant is the value under the radical in the quadratic formula

Which statement about the following equation is true? 2x^2 – 9x + 2 = -1The discriminant is less than 0, so there are two real roots. The discriminant is less than 0, so there are two complex roots

### Solved: Which of the following statements are true of the di[algebra] ^{[6]}

Question: Which of the following statements are true of the discriminant? The discriminant is b2-4ac in the quadratic formula. The discriminant is the denominator in the quadratic formula

The discriminant is the value under the radical in the quadratic formula. The discriminant is the value in front of the radical in the quadratic formula.

### Solved: 17. Which of the following statements is TRUE when t[algebra] ^{[7]}

Which of the following statements is TRUE when the discriminant of a quadratic equation is a perfect square? * 1 Point The roots of the quadratic equation are REAL and EQUAL. The roots of the quadratic equation are RATIONAL and NOT EQUAL

### [Solved] Which of the following statements are correct? (A) Internal ^{[8]}

(A) Internal reliability is described as the consistency of a measure taken at two different points of time.. (B) A distribution is random walk if it has a mean of 0 and variance of 1.

(D) Normal distribution cannot be applied to real life situations.. (E) Factor Analysis supersedes multiple discriminant analysis.

– Internal consistency reliability defines the consistency of the results delivered in a test, ensuring that the various items measuring the different constructs deliver consistent scores.. – There are three main techniques for measuring internal consistency reliability, depending upon the degree, complexity, and scope of the test

### Discriminant review (article) ^{[9]}

– Worked example: quadratic formula (negative coefficients). The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac

The is the part of the quadratic formula under the square root.. The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

– A discriminant of zero indicates that the quadratic has a repeated real number solution.. – A negative discriminant indicates that neither of the solutions are real numbers.

### Consider the following statementsI. A singular solution of differential equation satisfies the differential equation but is not a particular solution of the equation.II. If T(x, y) = 0 is the equation ^{[10]}

A singular solution of differential equation satisfies the differential equation but is not a particular solution of the equation.II. If T(x, y) = 0 is the equation of the tac-locus, thenT(x, y ) is a factor of the P-discriminant.III

Can you explain this answer? for Mathematics 2023 is part of Mathematics preparation. Information about Consider the following statementsI

If T(x, y) = 0 is the equation of the tac-locus, thenT(x, y ) is a factor of the P-discriminant.III. Cusp-locus has two distinct tangent.Choose the correct answer.a)Only I is trueb)I, II and IV are truec)All are trued)No one is trueCorrect answer is option ‘B’

### The Quadratic Formula ^{[11]}

· Write a quadratic equation in standard form and identify the values of a, b, and c in a standard form quadratic equation.. · Use the Quadratic Formula to find all real solutions.

· Compute the discriminant and state the number and type of solutions.. · Solve application problems requiring the use of the Quadratic Formula.

If you complete the square on the generic equation ax2 + bx + c = 0 and then solve for x, you find that . This formula is very helpful for solving quadratic equations that are difficult or impossible to factor, and using it can be faster than completing the square

### √ 5 M 2 − √ 5 M + √ 5 = 0 Which of the Following Statement is True for this Given Equation ? – Algebra ^{[12]}

Choose the correct answer for the following question.. \[\sqrt{5} m^2 – \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?

\[\text{D} = b^2 – 4ac = \left( – \sqrt{5} \right)^2 – 4 \times \sqrt{5} \times \sqrt{5} = 5 – 20 = – 15\]

### Sources

- https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/discriminant-review#:~:text=The%20discriminant%20is%20the%20part,one%20solution%2C%20or%20no%20solutions.
- https://mathsathome.com/the-discriminant-quadratic/#:~:text=The%20square%20root%20of%20a,can%20be%20written%20as%20fractions.
- https://www.mytutor.co.uk/answers/801/A-Level/Maths/Discriminants-and-determining-the-number-of-real-roots-of-a-quadratic-equation/#:~:text=If%20the%20discriminant%20is%20greater,%2C%20distinct%20(different)%20roots.
- https://www.ihatecbts.com/questions-answers/2023/8/17/which-of-the-following-statements-are-true-of-the-discriminant
- https://www.numerade.com/ask/question/which-of-the-following-statements-are-true-of-the-discriminant-the-discriminant-is-b2-4ac-in-the-quadratic-formula-the-discriminant-is-the-denominator-in-the-quadratic-formula-the-discrimina-34713/
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- https://testbook.com/question-answer/which-of-the-following-statements-are-correcta–63bbef4f1afda05ac7c64266
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- http://content.nroc.org/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U16_L5_T2_text_final.html
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