How do I solve this equation? %7B4x%20%2B%201%7D%20" id="TexFormula1" title=" \sqrt[3]{x - 5} = \sqrt[3]{4x + 1} " alt=" \sqrt[3]{x - 5} = \sqrt[3]{4x + 1} " align="absmiddle" class="latex-formula">
2 answers:
Let's get rid of the cube roots. That will make the equations much easier to solve. To do this, we can cube both sides of the equation, as shown below:
Now, we can easily solve the equation.
The equation has a solution of x = -2 .
Hey there!!
∛x - 5 = ∛ 4x + 1
Cube on both sides
x - 5 = 4x + 1
Add 5 on both sides
... x = 4x + 6
Subtract 4x on both sides
... -3x = 6
Divide by -3 on both sides
... x = 6 / -3
... x = -2
Hence, the final answer is -2.
Hope my answer helps!!
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