Solve for x : sqrt(3x+37)+16=24 Answer:

Isolate square root term: First, we need to isolate the square root term on one side of the equation. Subtract 16 from both sides of the equation. sqrt(3x + 37) + 16 - 16 = 24 - 16 sqrt(3x + 37) = 8Square both sides: Next, we square both sides of the equation to eliminate the square root. (sqrt(3x + 37))^2 = 8^2 3x + 37 = 64Isolate variable x: Now, we isolate the variable x by subtracting 37 from both sides of the equation. 3x + 37 - 37 = 64 - 37 3x = 27Divide to solve for x: Finally, we divide both sides of the equation by 3 to solve for x. 3x / 3 = 27 / 3 x = 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x :

sqrt(3x+37)+16=24
Answer:

Solve for $\mathrm{x}$ : $\newline$ $\sqrt{3 x+37}+16=24$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

\mathrm{x}

\newline

\sqrt{3 x+37}+16=24

\newline

Answer:

Isolate square root term: First, we need to isolate the square root term on one side of the equation. $\newline$ Subtract $16$ from both sides of the equation. $\newline$ $\sqrt{3x + 37} + 16 - 16 = 24 - 16$ $\newline$ $\sqrt{3x + 37} = 8$
Square both sides: Next, we square both sides of the equation to eliminate the square root. $\newline$ $(\sqrt{3x + 37})^2 = 8^2$ $\newline$ $3x + 37 = 64$
Isolate variable x: Now, we isolate the variable x by subtracting $37$ from both sides of the equation. $\newline$ $3x + 37 - 37 = 64 - 37$ $\newline$ $3x = 27$
Divide to solve for x: Finally, we divide both sides of the equation by $3$ to solve for $x$ . $\frac{3x}{3} = \frac{27}{3}$ $x = 9$