Let ax2 - bx -c-0- where a- b- c are real numbers- a- 0- be a quadratic equation- then this equation has no real roots if and only if

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Standard X

Mathematics

Discriminant

Let ax2 + b...

Question

Let $a x^{2} + b x + c = 0$ , where $a, b, c$ are real numbers, $a \neq 0$ , be a quadratic equation, then this equation has no real roots if and only if

b^{2} = 4 a c

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b^{2} > 4 a c

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b^{2} < 4 a c

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c = 0

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Solution

The correct option is C $b^{2} < 4 a c$

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Similar questions

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

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Let ax2+bx+c=0, where a,b,c are real numbers, a≠0, be a quadratic equation, then this equation has no real roots if and only if

The correct option is C b2<4ac

Let $a x^{2} + b x + c = 0$ , where $a, b, c$ are real numbers, $a \neq 0$ , be a quadratic equation, then this equation has no real roots if and only if

The correct option is C $b^{2} < 4 a c$