Type the correct answer in the box. Use numerals instead of words. What is the solution to this equation? 7 - ∛2-x = 12
Answer (2)
The solution to the equation 7 − 3 2 − x = 12 is x = 127 . We isolated the cube root, cubed both sides, and solved for x .
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To solve the equation 7 − 3 2 − x = 12 , follow these steps:
Isolate the Cube Root Term : 3 2 − x = 7 − 12 Simplifying the right side gives: 3 2 − x = − 5
Eliminate the Cube Root : Cube both sides to remove the cube root: ( 3 2 − x ) 3 = ( − 5 ) 3 This simplifies to: 2 − x = − 125
Solve for x : Rearrange the equation to solve for x : − x = − 125 − 2 Simplify to find x : − x = − 127 Multiply both sides by -1: x = 127
Therefore, the solution to the equation is x = 127 .
