Solve for f. sqrt ( 7 − 2f) = sqrt –9f f = _____

Write Equation: Write down the equation. sqrt(7 − 2f) = sqrt(−9f) We need to solve for f. Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(7 − 2f))^2 = (sqrt(−9f))^2 7 − 2f = −9f This step removes the square roots. Add 9f: Add 9f to both sides of the equation to get all the f terms on one side. 7 − 2f + 9f = −9f + 9f 7 + 7f = 0 This step simplifies the equation. Subtract 7: Subtract 7 from both sides of the equation to isolate the term with f. 7 + 7f − 7 = 0 − 7 7f = −7 This step isolates the f term. Divide by 7: Divide both sides of the equation by 7 to solve for f. 7f / 7 = −7 / 7 f = −1 This step gives us the value of f.

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Solve for $f$ . $\newline$ $\sqrt{7 - 2f} = \sqrt{-9f}$ $\newline$ $f =$ _____

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Q. Solve for

f

\newline

\sqrt{7 - 2f} = \sqrt{-9f}

\newline

f =

_____

Write Equation: Write down the equation. $\sqrt{7 - 2f} = \sqrt{-9f}$ We need to solve for $f$ .
Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{7 − 2f})^2 = (\sqrt{−9f})^2$ $\newline$ $7 − 2f = −9f$ $\newline$ This step removes the square roots.
Add $9$ f: Add $9f$ to both sides of the equation to get all the $f$ terms on one side. $\newline$ $7 - 2f + 9f = -9f + 9f$ $\newline$ $7 + 7f = 0$ $\newline$ This step simplifies the equation.
Subtract $7$ : Subtract $7$ from both sides of the equation to isolate the term with $f$ . $\newline$ $7 + 7f - 7 = 0 - 7$ $\newline$ $7f = -7$ $\newline$ This step isolates the $f$ term.
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $f$ . $\frac{7f}{7} = \frac{-7}{7}$ $f = -1$ This step gives us the value of $f$ .