The sum of all the real values of x satisfying the equation 2(x-1)(x2 + 5x - 50) = 1 is :

Question

The sum of all the real values of x satisfying the equation

2(x-1)(x2 + 5x - 50) = 1 is :

Accepted Answer

We know, 2x = 1 only when  x = 0.

Similarly, 2(x-1)(x2 + 5x - 50) = 1 when

(x-1)(x2 + 5x - 50) = 0

$$ \Rightarrow $$ (x - 1)(x + 10)(x - 5) = 0

$$ \therefore $$ x = 1, -10, 5

Sum of real values of x = 1 + (-10) + 5 = -4

Solutions · 1