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

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First solve the Square root of (16+x^2)2x + (4 + x) = 11Remove parenthesis around (4 + x)2x + 4 + x = 11Reorder the terms:4 + 2x + x = 11Combine like terms: 2x + x = 3x4 + 3x = 11 ...

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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
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