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

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