type the correct answer in the box. use numerals instead of words. what is the solution to this equation? 7…
type the correct answer in the box. use numerals instead of words. what is the solution to this equation? 7 - \\sqrt3{2 - x}=12 the solution is x =
Answer
Explanation:
Step1: Isolate the cube - root term
Subtract 7 from both sides of the equation $7-\sqrt[3]{2 - x}=12$. $-\sqrt[3]{2 - x}=12 - 7$ $-\sqrt[3]{2 - x}=5$
Step2: Get rid of the negative sign
Multiply both sides by - 1. $\sqrt[3]{2 - x}=-5$
Step3: Cube both sides
$(\sqrt[3]{2 - x})^3=(-5)^3$ $2 - x=-125$
Step4: Solve for x
Subtract 2 from both sides: $-x=-125 - 2$. $-x=-127$. Multiply both sides by - 1: $x = 127$.
Answer:
$127$