Contents

How To Determine The Discriminant of a Quadratic Equation

## What is discriminant in math example?

Example: Find the discriminant of the quadratic equation 2x^{2} – 3x + 8 = 0. Comparing the equation with ax^{2} + bx + c = 0, we get a = 2, b = -3, and c = 8. So the discriminant is, **Δ OR D = b ^{2} − 4ac = (-3)^{2} – 4(2)(8) = 9 – 64 = -55**.

## What is the discriminant PDF?

The discriminant is **found inside the square root of the quadratic formula**. The discriminant tells us the number and nature of the roots of the quadratic.

## What is the discriminant of the quadratic equation 3 4x 6×2 68 56 76 88?

Therefore, the discriminant of the quadratic equation 3 – 4x = -6x^{2} is **– 56**.

## What is the discriminant of 2×2 4x 3 0?

2×2 4x + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = 4, c = 3 We know that D = b2 4ac D = ( 4)2 4 (2) (3) **D = 16 24 D = 8** Since D <

0 So, the given equation has no real roots .

## What is the discriminant of 3×2 10x 2?

Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is **76**.

## What is the discriminant of 2×2 6x 3 0?

iii) 2x^{2} – 6x + 3 = 0. **b ^{2} – 4ac** is called the discriminant of the quadratic equation and we can decide whether the real roots exist or not based on the value of the discriminant. Hence the equation has no real roots. Hence the equation has two equal real roots.

## Which of the following is the value of the discriminant for √ 2×2 5x+ √ 2 0?

Answer. the value of discriminant is **17**.

## What is discriminant Grade 9 math?

The discriminant of a quadratic polynomial is **the portion of the quadratic formula under the square root symbol: b ^{2}-4ac**, that tells whether there are two solutions, one solution, or no solutions to the given equation. The discriminant is a homogeneous polynomial in the coefficients.

## How do you solve quadratic equations?

Solving Quadratic Equations

- Put all terms on one side of the equal sign, leaving zero on the other side.
- Factor.
- Set each factor equal to zero.
- Solve each of these equations.
- Check by inserting your answer in the original equation.

## How do you do quadratic word problems?

More Word Problems Using Quadratic Equations – Example 1

## How do you use quadratic formula?

The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .

## What is the discriminant of the quadratic equation 0 2×2 3x 5?

Summary: The discriminant of the quadratic equation 2x^{2} + 3x – 5 = 0 is **49**.

## What is the discriminant of the quadratic equation 0 =- x2 4x 2?

The discriminant of the quadratic equation -x^{2} + 4x – 2 = 0 is **8**.

## What are the solutions to the quadratic equation 0 3×2 4x 5?

Summary: In the simplest radical form, the solutions to the quadratic equation 0 = -3x^{2} – 4x + 5 are **x _{1} = -(2 -√19)/3 or x_{2} = -(2 +√19)/3**.

## What will be the nature of the roots of quadratic equation 2×2 4x 3 0?

Answer: The nature of quadratic equation is **no real roots**.

## What is the nature of roots of quadratic equation 2x² 4x 3 0?

Hence. Nature of roots of equation, 2x² – 4x + 3 = 0 be **imaginary** .

## How do you find the roots or solutions of a quadratic equation?

You can find the solutions, or roots, of quadratic equations by **setting one side equal to zero, factoring the polynomial, and then applying the Zero Product Property**. The Principle of Zero Products states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0.

## What is the discriminant of 9×2 2 10?

What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is **0**.

## Which equation shows the quadratic formula used correctly to solve 5x squared plus 3x minus 4 equals 0 4x?

Answer: The equation that shows the quadratic formula is used correctly to solve 5x^{2} + 3x – 4 = 0 for x is **x = [-3 ± √{3 ^{2} − 4 × 5 × (-4)}] / (2 × 5)** and the values of x are (-3 + √89)/10 and (-3 – √89)/10.

## How many solutions are there if the discriminant is positive?

If the discriminant is positive, this means that you have a positive number under the square root in the quadratic formula. This means you will end up with **2 real solutions**.

## How many solutions will the quadratic equation x2 8x 16 have?

4.2 Solving x^{2}-8x+16 = 0 by Completing The Square . This quadratic equation has **one solution only**. That’s because adding zero is the same as subtracting zero.

## What is the roots of 6x² 7x 2 0?

The equation 6x² – 7x + 2 = 0 has real roots. The roots of the equation by the method of completing the squares are **2/3 and 1/2**.

## Which of the following is the value of discriminant for 2×2 5 √ 3x 6 0?

Therefore, The value of discriminate is **27**.

## Which of the following is the value of the discriminant for 2x² 5x 7 0?

1 Answer. The discriminant is **−3** , which means there are two complex roots.

## Which of the quadratic equation has roots 3 5?

Hence, **x2−8x+15=0** is the quadratic equation whose roots are 3 and 5.

## What is a discriminant Class 10?

Discriminant. For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant **determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation**.

## What is discriminant method?

discriminant, in mathematics, **a parameter of an object or system calculated as an aid to its classification or solution**. In the case of a quadratic equation ax^{2} + bx + c = 0, the discriminant is b^{2} − 4ac

for a cubic equation x^{3} + ax^{2} + bx + c = 0, the discriminant is a^{2}b^{2} + 18abc − 4b^{3} − 4a^{3}c − 27c^{2}.

## How do you use the discriminant in a quadratic equation?

Using the Discriminant for Quadratic Equations