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Answer :
Final answer:
To solve the equation 3x² - 1 = 47 using the square root property, isolate the variable x and apply the square root property to find the solutions x = 4 and x = -4.
Explanation:
To solve the equation 3x² - 1 = 47 using the square root property, we need to isolate the variable x and then apply the square root property. First, we add 1 to both sides of the equation to get 3x² = 48. Then, we divide both sides by 3 to obtain x² = 16. Finally, we take the square root of both sides, remembering to include both the positive and negative square root:
- x = ∖sqrt{16} = ∖4
- x = -∖sqrt{16} = -4
Therefore, the solutions to the equation 3x² - 1 = 47 are x = 4 and x = -4.
Learn more about solving quadratic equations here:
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Final answer:
To solve the equation 3x² - 1 = 47 using the square root property, isolate the variable by moving the constant to the other side of the equation. Divide both sides of the equation by 3 to isolate the variable. Take the square root of both sides of the equation to solve for x.
Explanation:
In order to solve the equation 3x² - 1 = 47 using the square root property, we need to isolate the variable by moving the constant to the other side of the equation.
Step 1: Add 1 to both sides of the equation to get 3x² = 48.
Step 2: Divide both sides of the equation by 3 to isolate the variable, which gives us x² = 16.
Step 3: Take the square root of both sides of the equation to solve for x. The square root of 16 is 4, so we have two possible solutions: x = 4 and x = -4.
