Question

Solve the quadratic formula (x+3)^2=69

Answer 1

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