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24 February, 13:54

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

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Answers (2)
  1. 24 February, 14:00
    0
    The answer would be the second one
  2. 24 February, 14:18
    0
    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
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