Question

11x^2 - 240x - 44 = 0

Find the roots for the equation. Kindly elaborate so as to understand how to solve for subsequent quadratic equations. ​

Answer 1

Answer:

The roots are x=22, (-2/11).

Step-by-step explanation:

Thisquadratic equation can be solved by factoristaion method.

Firstly, we find 11 x (-44) = (-484).

Next, (-484) can be written as 2 x (-242).

So,

$11 {x}^{2} - 240x - 44 = 0 \\ 11 {x}^{2} + 2x - 242x - 44 = 0 \\ x(11x + 2) - 22(11x + 2) = 0 \\ (x - 22)(11x + 2) = 0 \\ x - 22 = 0 \\ x = 22 \\ 11x + 2 = 0 \\ x = \frac{ - 2}{11}$

The roots are x=22, (-2/11).

Thank you