Q. 74.9( 9 Votes )

# 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.

Answer :

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

Given, x^{2} + bx + c = 0, b = 0, c < 0

⇒ x^{2} – c = 0

**∴**

Hence, the roots are equal and opposite in sign.

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