If the roots of ax2 bx c 0 are real

Asked by admin @ 03/08/2021 in Math viewed by 287 People

If the roots of ax2 +bx+c= 0 are real and unequal, then b2-4ac <0. Is it true?

Answered by admin @ 03/08/2021

QUESTION:

If the roots of ax2 +bx+c= 0 are real and unequal, then b2-4ac <0. Is it true?

ANSWER:

If the roots of quadratic equation are real and equal then discriminant is greater than 0 so the given statement is false.

Additional information:

When;

${b}^{2} - 4ac < 0$

then it has unequal roots.

and

${b}^{2} - 4ac = 0$

then it has real and equal roots.

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