Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
(x + 3)² = 69
(x + 3)(x + 3) = 69
x² + 3x + 3x = 69
x² + 6x - 69 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 6
c = - 69
Therefore,
x = [- 6 ± √(6² - 4 × 1 × - 69)]/2 × 1
x = [- 6 ± √(36 + 276)]/2
x = [- 6 ± √312]/2
x = (- 6 + 17.7)/2 or x = (- 6 - 17.7)/2
x = 11.7/2 or x = -23.7/2
x = 5.85 or x= - 11.85
