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Question: If the product of the roots of the equation ax<sup>2</sup> + bx + a<sup>2</sup> + 1 = 0 is –2, then...

If the product of the roots of the equation

ax2 + bx + a2 + 1 = 0 is –2, then a equals –

A

–1

B

1

C

2

D

–2

Answer

–1

Explanation

Solution

α2+1α\frac{\alpha^{2} + 1}{\alpha}= –2

Ž a2 + 2a + 1 = 0

Ž a = –1