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Discriminant

ax2+bx+c=0, w...

Question

$a x^{2} + b x + c = 0$ , where a, b,c are real, has real roots if

a, b, c are integers

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b^{2} > 3 a c

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a c > 0

and b is zero

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c = 0

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Solution

The correct option is C $c = 0$
$a x^{2} + b x + c = 0$
for real roots $b^{2} - 4 a c \geq 0$
If $c = 0,$ then $b^{2} \geq 0$ . This is always true.

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Similar questions

$a x^{2}$ + bx + c = 0, where a, b, c are real, has real roots if:

a^{2} + b^{2} + c^{2} < 0

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

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

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\neq

a x^{2}

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a < 0 < b < c

a (x - b) (x - c) + b (x - c) (x - a) + c (x - a) (x - b) = 0

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a > 0, c < 0

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c

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