Answer:
x² + x + 8 = 0
Step-by-step explanation:
Given
(x - 2)² + 5(x + 2) - 6 = 0 ← expand (x - 2)² and distribute parenthesis by 5
x² - 4x + 4 + 5x + 10 - 6 = 0 ← collect like terms on left side
x² + x + 8 = 0 ← equivalent quadratic equation
Answer:
x² + x + 8 = 0
Step-by-step explanation:
(x-2)^2 + 5(x+2) - 6=0 { (a-b)² = a² -2ab + b²; here a = x & b = 2}
x²- 2*x*2 + 2² + 5 x + 10 -6 = 0
x² - 4x + 4 + 5x + 10 - 6 = 0
x² + x + 4 + 10 - 6 = 0
x² + x + 8 = 0
