Question

Solve for x: 2(x + 3)2 − 4 = 0

Round your answer to the nearest hundredth.

x = 4.41, 1.59
x = 1.34, 5.24
x = −1.34, −5.24
x = −4.41, −1.59

Answer 1

The answer would be the second one

Answer 2

x = -4.41, -1.59

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