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Solve for x : sqrt(8x+56)+7=11 Answer:

Solve for x \mathrm{x} :\newline8x+56+7=11 \sqrt{8 x+56}+7=11 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} :\newline8x+56+7=11 \sqrt{8 x+56}+7=11 \newlineAnswer:
  1. Isolate square root term: Isolate the square root term by subtracting 77 from both sides of the equation.\newline8x+56+7−7=11−7\sqrt{8x+56} + 7 - 7 = 11 - 7\newline8x+56=4\sqrt{8x+56} = 4
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(8x+56)2=42(\sqrt{8x+56})^2 = 4^2\newline8x+56=168x + 56 = 16
  3. Subtract to isolate xx: Subtract 5656 from both sides to isolate the term with xx.
    8x+56−56=16−568x + 56 - 56 = 16 - 56
    8x=−408x = -40
  4. Divide to solve for x: Divide both sides by 88 to solve for xx.\newline8x8=−408\frac{8x}{8} = \frac{-40}{8}\newlinex=−5x = -5

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