Question

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Answer 1

The value of a in terms of b is given as $a = 8b^3$

Given the equation solved by Leo expressed as $b=\frac{1}{2}\sqrt[3]{a-1}$

We are to solve the equation for the variable "a"

Given;

$b=\frac{1}{2}\sqrt[3]{a-1}$

Cross multiply

$2b=\sqrt[3]{a-1}$

Cube both sides of the equation:

$(2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1$

Add 1 to both sides of the equation:

$8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3$

Hence the value of a in terms of b is given as $a = 8b^3$

Learn more on subject of formula here: brainly.com/question/657646