The roots of a quadratic equation ax2 - bx - c - 0 are given by -b -b2 -4ac-2a- provided b2 - 4ac - 0-

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Standard X

Mathematics

Roots of a Quadratic Equation

The roots of ...

Question

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

True

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False

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Solution

The correct option is A True

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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 are the roots of the quadratic equation

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

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The roots of a quadratic equation ax2+bx+c=0 are given by −b±√b2−4ac2a, provided b2–4ac≥0.

The correct option is A True

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