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sqrtx-2=10

x−2=10 \sqrt{x}-2=10

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Full solution

Q. x−2=10 \sqrt{x}-2=10
  1. Isolate square root term: First, we need to isolate the square root term on one side of the equation.\newlinex−2=10\sqrt{x} - 2 = 10\newlineAdd 22 to both sides of the equation to isolate x\sqrt{x}.\newlinex−2+2=10+2\sqrt{x} - 2 + 2 = 10 + 2\newlinex=12\sqrt{x} = 12
  2. Eliminate square root: Next, we need to eliminate the square root by squaring both sides of the equation.\newline(x)2=122(\sqrt{x})^2 = 12^2\newlinex=144x = 144
  3. Check solution: Finally, we check if our solution makes sense by substituting xx back into the original equation.\newline144−2=?10\sqrt{144} - 2 =? 10\newline12−2=1012 - 2 = 10\newline10=1010 = 10\newlineThe solution checks out.

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