If $b^{2} - 4 a c$ is greater than $0$ .
Find the roots of quadratic equation $a x^{2} + b x + c$ Is

Open in App

Solution

Apply the discriminant formula for roots of the quadratic equation
Since the value of $△ = b^{2} - 4 a c > 0$
The roots of the quadratic equation $a x^{2} + b x + c$ exist and are real and unequal .
The roots of the quadratic equation $a x^{2} + b x + c$ are given as
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
Hence the roots of the given quadratic equation are calculated to be $\frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$ and $\frac{- b - \sqrt{b^{2} - 4 a c}}{2 a}$

Suggest Corrections

Similar questions

Q. If

b^{2} - 4 a c \geq 0

, then write the nature of roots of a quadratic equation

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

If the value of ' $b^{2} - 4 a c$ ' is greater than zero, the quadratic equation $a x^{2} + b x + c = 0$ will have

Q. If

b^{2} - 4 a c \geq 0

then the roots of quadratic equation

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

is-

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

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 $b^{2} - 4 a c \geq 0$ .

Join BYJU'S Learning Program

If b2-4ac is greater than 0. Find the roots of quadratic equation ax2+bx+c Is

If $b^{2} - 4 a c$ is greater than $0$ .
Find the roots of quadratic equation $a x^{2} + b x + c$ Is