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solve: $sqrt3{8x - 2}=4$. to solve this equation, first cube both sides…

Question

solve: $sqrt3{8x - 2}=4$. to solve this equation, first cube both sides. $x =$ dropdown with options: 8.25, 0.75, 1.75, 2.25, no real solutions

Explanation:

Step1: Cube both sides

$(\sqrt[3]{8x - 2})^3=4^3$
$8x - 2=64$

Step2: Add 2 to both sides

$8x-2 + 2=64 + 2$
$8x=66$

Step3: Divide both sides by 8

$x=\frac{66}{8}=8.25$

Answer:

$8.25$