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Solve for x : sqrt(5x+11)+14=20 Answer:

Solve for x \mathrm{x} :\newline5x+11+14=20 \sqrt{5 x+11}+14=20 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} :\newline5x+11+14=20 \sqrt{5 x+11}+14=20 \newlineAnswer:
  1. Isolate square root: Isolate the square root on one side of the equation by subtracting 1414 from both sides.\newline5x+11+14−14=20−14\sqrt{5x + 11} + 14 - 14 = 20 - 14\newline5x+11=6\sqrt{5x + 11} = 6
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(5x+11)2=62(\sqrt{5x + 11})^2 = 6^2\newline5x+11=365x + 11 = 36
  3. Isolate variable xx: Isolate the variable xx by subtracting 1111 from both sides of the equation.5x+11−11=36−115x + 11 - 11 = 36 - 115x=255x = 25
  4. Divide by 55: Divide both sides of the equation by 55 to solve for xx.5x5=255\frac{5x}{5} = \frac{25}{5}x=5x = 5

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