Question

What are the solutions of the equation
X2 - 30 = x?

Answer 1

x = - 5

x = 6

Explanation:

x^2 - 30 = x

move terms to the left side

x^2 - 30 - x = 0

rearrange terms

x^2 - x - 30 = 0

use sum-product method

x^2 - 6x + 5x - 6*5 = 0

write in factor form

x(x-6) +5(x-6) = 0

(x+5)(x-6) = 0

set each factor to zero

x + 5 = 0

x - 6 = 0

raarrange it

x = - 5

x = 6

answer

x = - 5

x = 6