Question

Let $x^2 + \alpha x + \beta = 0$ the equation whose roots are the negatives of the roots of $x^2 + 7x - 2 = 0$ then the value of $\alpha + \beta$ is

• A. 5
• B. -5
• C. 9
• D. -9

Answer 1

Answer: (D)

-9

Answer 2

We have,
$x^2 + a x + ? = 0$ be the equation whose roots are the negative of the roots of $x^2 + 7x - 2 = 0$
$? a = - 7$
and $? = - 2$
$a + ? = (-7 ) +(-2) = -9$