Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for 
x :

sqrt(4x+25)+10=13
Answer:

Solve for x \mathrm{x} :\newline4x+25+10=13 \sqrt{4 x+25}+10=13 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline4x+25+10=13 \sqrt{4 x+25}+10=13 \newlineAnswer:
  1. Isolate square root: Isolate the square root on one side of the equation by subtracting 1010 from both sides.\newline4x+25+1010=1310\sqrt{4x + 25} + 10 - 10 = 13 - 10\newline4x+25=3\sqrt{4x + 25} = 3
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(4x+25)2=32(\sqrt{4x + 25})^2 = 3^2\newline4x+25=94x + 25 = 9
  3. Subtract 2525: Subtract 2525 from both sides to isolate the term with the variable xx.\newline4x+2525=9254x + 25 - 25 = 9 - 25\newline4x=164x = -16
  4. Divide by 44: Divide both sides by 44 to solve for xx.4x4=164\frac{4x}{4} = \frac{-16}{4}x=4x = -4

More problems from Solve radical equations