First slide

Theory of equations

Question

If the product of the roots of the equation $2 x^{2} + 6 x + α^{2} + 1 = 0$ is $- α$ then $α$ will be

Moderate

A

$- 1$
B

1
C

2
D

$- 2$

Solution

According to condition $\frac{α^{2} + 1}{2} = - α$
$\Rightarrow α^{2} + 2 α + 1 = 0 \Rightarrow α = - 1, - 1 .$

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