Question

Factorize: x ^ 2 - x/20 - 1/20 = 0​

Answer 1

Answer:

If $x^2 -\frac{x}{20} - \frac{1}{20} = 0$ then  x = -1/5 and x = 1/4

Step-by-step explanation:

Given: $x^2 -\frac{x}{20} - \frac{1}{20} = 0$

Multiply on both side by 20

$20x^2 -\frac{20x}{20} - \frac{20}{20} = 0$

$20x^2 - x - 1 = 0$

Now find factor of 20 whose sum is -1

The factors are - 5 and 4

$20x^2 - 5x + 4x - 1 = 0$

5x (4x - 1) + 1 (4x - 1)=0

(5x + 1) (4x - 1) =0

5x + 1 = 0 and 4x - 1 = 0

5x = -1 and 4x = 1

x = -1/5 and x = 1/4