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.

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.

Q7 of 51 Page 38

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.

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.

Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rational? Justify.

Is 0.2 a root of the equation x² - 0.4 = 0? Justify your answer.

Find the roots of the quadratic equations by using the quadratic formula in each of the following:

2x² - 3x – 5 = 0

Find the roots of the quadratic equations by using the quadratic formula in each of the following:

5x² + 13x + 8 = 0

Questions · 51

4. Quadratic Equations

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