Add 2 to isolate square root: Isolate the square root term by adding 2 to both sides of the equation. 7*sqrt(x) - 2 + 2 = 10 + 2 7*sqrt(x) = 12Divide by 7: Divide both sides of the equation by 7 to solve for sqrt(x). (7*sqrt(x)) / 7 = 12 / 7 sqrt(x) = 12 / 7Square both sides: Square both sides of the equation to eliminate the square root and solve for x. (sqrt(x))^2 = (12 / 7)^2 x = (12 / 7) * (12 / 7) x = 144 / 49Simplify fraction: Simplify the fraction to get the final answer. x = 144 / 49 x = 144 / 49

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Find $x$ . $\newline$ $\sqrt{x}-2=10$

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Algebra 2

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Q. Find

x

\newline

\sqrt{x}-2=10

Add $2$ to isolate square root: Isolate the square root term by adding $2$ to both sides of the equation. $\newline$ $7\sqrt{x} - 2 + 2 = 10 + 2$ $\newline$ $7\sqrt{x} = 12$
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $\sqrt{x}$ . $\frac{7\sqrt{x}}{7} = \frac{12}{7}$ $\sqrt{x} = \frac{12}{7}$
Square both sides: Square both sides of the equation to eliminate the square root and solve for $x$ .
$(\sqrt{x})^2 = (\frac{12}{7})^2$
$x = (\frac{12}{7}) \times (\frac{12}{7})$
$x = \frac{144}{49}$
Simplify fraction: Simplify the fraction to get the final answer. $\newline$ $x = \frac{144}{49}$ $\newline$ $x = \frac{144}{49}$