Answer:
x = 5 or x = -6
Step-by-step explanation:
x² + x - 30 = 0
a = 1
b = 1
c = - 30
Now,
x² + x - 30 = 0
x² + x + (1/2*1)² - (1/2*1)² - 30 = 0
x² + x + ( 1/2)² - (1/4) - 30 = 0
(x + 1/2)² - 1/4 - 30 =0
(x + 1/2)² - 1 - 120/4 = 0
(x + 1/2)² - 121/4 = 0
(x + 1/2)² = 121/4
(x + 1/2) = +-√121/4
(x + 1/2) = +- 11/2
x + 1/2 = +- 11/2
x = -1/2 +- 11/2
x = -1/2 + 11/2 or x = -1/2 - 11/2
x = -1+11/2 or x = -1 - 11/2
x = 10/2 or x = -12/2
x = 5 or x = -6
