Solve the equation 2x + sqrt(16+x^2)=11.

Expert Answers

An illustration of the letter 'A' in a speech bubbles
First solve the Square root of (16+x^2)
2x + (4 + x) = 11

Remove parenthesis around (4 + x)
2x + 4 + x = 11

Reorder the terms:
4 + 2x + x = 11

Combine like terms: 2x + x = 3x
4 + 3x = 11

Solving
4 + 3x = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 11 + -4
3x = 11 + -4

Combine like terms: 11 + -4 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333
Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial