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$5 - 2\sqrt{x} = 7 - 5\sqrt{x}$ .Find `x`

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Find trigonometric functions using a calculator

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Q.

5 - 2\sqrt{x} = 7 - 5\sqrt{x}

.Find `x`

Isolate square root terms: Isolate the square root terms on one side of the equation. $\newline$ To do this, we can add $5\sqrt{x}$ to both sides of the equation to get all the square root terms on one side and the constants on the other side. $\newline$ $5 - 2\sqrt{x} + 5\sqrt{x} = 7 - 5\sqrt{x} + 5\sqrt{x}$ $\newline$ This simplifies to: $\newline$ $5 + 3\sqrt{x} = 7$
Isolate constant terms: Isolate the constant terms on the other side of the equation. $\newline$ Now, we subtract $5$ from both sides to get the constant terms on one side: $\newline$ $5 + 3\sqrt{x} - 5 = 7 - 5$ $\newline$ This simplifies to: $\newline$ $3\sqrt{x} = 2$
Solve for $\sqrt{x}$ : Solve for the square root of $x$ . $\newline$ To find $\sqrt{x}$ , we divide both sides of the equation by $3$ : $\newline$ $\frac{3\sqrt{x}}{3} = \frac{2}{3}$ $\newline$ This simplifies to: $\newline$ $\sqrt{x} = \frac{2}{3}$
Square both sides: Square both sides to solve for $x$ . $\newline$ To get rid of the square root, we square both sides of the equation: $\newline$ $(\sqrt{x})^2 = \left(\frac{2}{3}\right)^2$ $\newline$ This simplifies to: $\newline$ $x = \left(\frac{2}{3}\right)^2$ $\newline$ $x = \frac{4}{9}$

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