Question

question 36 of 41
what is the solution to the equation below?
\\(\sqrt{x} - 7 = 5\\)

a. 2

b. 12

c. 144

d. 4

Explanation:

Step1: Isolate the square root term

To solve the equation \(\sqrt{x}-7 = 5\), we first isolate the square root term. We add 7 to both sides of the equation.
\(\sqrt{x}-7 + 7=5 + 7\)
Simplifying both sides, we get \(\sqrt{x}=12\)

Step2: Eliminate the square root

To eliminate the square root, we square both sides of the equation \(\sqrt{x}=12\).
\((\sqrt{x})^2=12^2\)
Since \((\sqrt{x})^2 = x\) for \(x\geq0\) and \(12^2 = 144\), we have \(x = 144\)

Answer:

C. 144