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 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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Can’t find what you’re looking for?

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

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = -5

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Can’t find what you’re looking for?

What are the solutions to the equation

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = -5

Complete step by step solution:Here we have the equation To make the power of the equation as 1, we have to raise the equation by

Related Questions to study

Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.