What is the value of discriminant of the quadratic equation 2×2 3x 1 0?

The discriminant of the quadratic equation ax2+bx+c=0 is b2−4ac .

What is the discriminant and nature of roots of 2x 2 3x 5 0?

The discriminant of the quadratic equation 2×2 + 3x – 5 = 0 is 49.

What is the value of the discriminant for the quadratic equation 3 x2 2x discriminant b2 4ac?

16
Summary: The value of the discriminant for the quadratic equation -3 = -x2 + 2x is 16.

What is a discriminant formula?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is the value of K so that the equation x2 4x K 0 has equal roots?

Hence, k must be less than 4 for the root of the equation \[{{x}^{2}}+4x+k=0\] to be real. Hence, \[k\le 4\] is the answer.

What is a discriminant in a quadratic?

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 ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.

What is the discriminant of the quadratic equation 3 4x =- 6×2?

– 56
The given quadratic equation is 3 – 4x = -6×2. The standard quadratic equation is the form ax2 + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 – 4x = -6×2 is – 56.

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

Answer: The roots are real and distinct.

What is the value of the discriminant for the quadratic equation 3×2 2x discriminant?

∴ The value of discriminant is 16.

Which equation shows the quadratic formula correctly to solve 7x?

Therefore, the quadratic formula used correctly to solve 7×2 = 9 + x for x is x=1±√25314 x = 1 ± 253 14 .

How do you find the discriminant of quadratic equations?

In quadratic equation formula, we have b2−4ac b 2 − 4 a c under root, this is discriminant of quadratic equations. There are three cases for discriminant: if b2 −4ac = 0 b 2 − 4 a c = 0, then the roots of quadratic equations are real and equal. if b2 −4ac > 0 b 2 − 4 a c > 0, then the roots are real but not equal

What is the discriminant of the real roots?

The discriminant Δ is b2 − 4ac. The discriminant “discriminates” the nature of the roots. There are three possibilities. If Δ > 0, there are two separate real roots. If Δ = 0, there are two identical real roots. If Δ < 0, there are no real roots, but there are two complex roots.

What are the different types of roots in a quadratic equation?

A quadratic equation can have different types of roots. Based on the discriminant value, the nature of roots are determined. They are: If D> 0, the roots are real and unequal. If D = 0, the roots are real and equal. If D < 0, the roots are not real (i.e., complex)

What is the discriminant value?

Discriminant value reveals the nature of the roots of the quadratic equation. The roots of the quadratic equation may be either real or complex. It helps to determine the solution of an equation. How to determine the nature of roots using the discriminant value? A quadratic equation can have different types of roots.