If b = 0, c

Question

If b = 0, c < 0, is it true the roots of x 2 + bx + c = 0 are numerically equal and opposite in sign? Justify your answer.

Philoid · Accepted Answer

Yes, the roots will be equal and opposite in sign.

Given, x² + bx + c = 0, b = 0, c < 0

⇒ x² – c = 0

∴

Hence, the roots are equal and opposite in sign.

If b = 0, c < 0, is it true the roots of x2 + bx + c = 0 are numerically equal and opposite in sign? Justify your answer.