Question

If the coefficient of x2 and the constant term of a quadratic equation has opposite signs, then the quadratic equation has real roots. True or False​

Answer 1

True,the quadratic equation has real roots

Step-by-step explanation:

If the coefficient of x² and the constant term of a quadratic equation has opposite signs, then the quadratic equation has real roots

This statement is true,

because, in this case the discriminant is always positive

for example :

in ax²+bx+c =0

as a and c have opposite signs

so, $ac< 0$

discriminant = $b^2-4ac> 0$

hence , if coefficient of x² and the constant term of a quadratic equation has opposite signs, then the quadratic equation has real roots.

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