What are the roots of the quadratic equation a x2-b x-c-0 -A- -b -b2-4 a-2B- - b - b 2-4 ac -2 aC- - b - b 2-4 ac -4 aD- - b - b 2-4 ac -4 a

The correct option is B b ±√(b^2 4ac)/2a The roots of the quadratic equation ax^2 +bx +c =0 nbsp;is given by x= b ±√(b^2 4ac)/2a. nbsp; Thus, b + √(b^2 4 ...

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Standard X

Mathematics

Quadratic Formula

What are the ...

Question

What are the roots of the quadratic equation $a x^{2} + b x + c = 0 ?$

\frac{- b \pm \sqrt{b^{2} - 4 a c}}{2}

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\frac{- b \pm \sqrt{b^{2} - 4 a c}}{4 a}

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\frac{- b \pm \sqrt{b^{2} - 4 a c}}{4 a}

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\frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

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Solution

The correct option is D $\frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
The roots of the quadratic equation $a x^{2} + b x + c = 0$ is given by
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a} .$
Thus, $\frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$ and $\frac{- b - \sqrt{b^{2} - 4 a c}}{2 a}$ are the roots of the equation.

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Similar questions

Q. Which of the given formulae is the correct one to find out the roots of the quadratic equation

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

Q. Find the roots of the quadratic equation

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

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

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

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What are the roots of the quadratic equation ax2+bx+c=0 ?

The correct option is D −b±√b2−4ac2a The roots of the quadratic equation ax2+bx+c=0 is given by x=−b±√b2−4ac2a. Thus, −b+√b2−4ac2a and −b−√b2−4ac2a are the roots of the equation.

What are the roots of the quadratic equation $a x^{2} + b x + c = 0 ?$