Maths-
General
Easy

Question

What are the solutions to the equation left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent minus 14 equals negative 6

Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = -5


    Complete step by step solution:
    Here we have the equation left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent minus 14 equals negative 6
    not stretchy rightwards double arrow left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent equals negative 6 plus 14
    To make the power of the equation as 1, we have to raise the equation by 2 over 3
    not stretchy rightwards double arrow left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 cross times 2 over 3 end exponent equals left parenthesis 8 right parenthesis to the power of 2 over 3 end exponent
    not stretchy rightwards double arrow x minus 3 x minus 6 equals cube root of 8 squared end root
    not stretchy rightwards double arrow x minus 3 x minus 6 equals cube root of 64
    not stretchy rightwards double arrow x minus 3 x minus 6 equals 4
    not stretchy rightwards double arrow negative 2 x equals 10
    not stretchy rightwards double arrow x equals negative 5

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