The condition for a general quadratic equation such that its both roots are equal, is

b^{2} + 4 a c = 0

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b^{2} - 4 a c = 0

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b^{2} + a c = 0

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b^{2} + 2 a c = 0

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Solution

The correct option is D $b^{2} - 4 a c = 0$
General quadratic equation is $a x^{2} + b x + c = 0$
For both roots to be equal discriminant of this quadratic should be zero $\Rightarrow b^{2} - 4 a c = 0$

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Similar questions

If b² – 4ac = 0 then The roots of the Quadratic equation ax² + bx + c = 0 are given by :

The roots of a quadratic equation $a x^{2} + b x + c = 0$ are given by $\frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ , provided $b^{2} - 4 a c \geq 0$ .

Q. What is the nature of the roots of the quadratic equation

a x^{2} + b x + c = 0

if
(a)

b^{2} - 4 a c = 0

(b)

b^{2} - 4 a c < 0

Q. What are the roots of the quadratic equation

a x^{2} + b x + c = 0 ?

What is the condition for the equation $x^{2} + b x - c = 0$ to have real roots?

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The condition for a general quadratic equation such that its both roots are equal, is

The correct option is D b2−4ac=0General quadratic equation is ax2+bx+c=0For both roots to be equal discriminant of this quadratic should be zero ⇒b2−4ac=0

The correct option is D $b^{2} - 4 a c = 0$
General quadratic equation is $a x^{2} + b x + c = 0$
For both roots to be equal discriminant of this quadratic should be zero $\Rightarrow b^{2} - 4 a c = 0$