Answer:
x = -4.41, -1.59
Step-by-step explanation:
To solve for x in the equation; 2(x + 3)² - 4 = 0, we are going to follow the steps below;
First, we will add 4 to both-side of the equation
2(x + 3)² - 4 + 4 = 0 + 4
2(x + 3)² = 4
Next, we will divide both-side of the equation by 2
2(x + 3)²/2 = 4/2
(on the left-hand side of the equation 2 at the numerator will cancel-out 2 at the denominator leaving us with (x + 3)² while On the right-hand side of the equation, 4 will be divided by 2)
(x + 3)² = 2
Take the square root of both-side of the equation
√(x + 3)² = ±√2
x + 3 = ±1.41
Subtract 3 from both-side of the equation
x + 3 - 3 = ±1.41 - 3
x = ±1.41 - 3
Either x = 1.41 - 3 or x = -1.41 - 3
Either x = -1.59 or x = -4.41
x = -4.41, -1.59
