Solve for k. sqrt ( –4 − 10k) = sqrt –8k k = _____

Set Equal Square Roots: Set the expressions inside the square roots equal to each other because if two non-negative square roots are equal, their radicands (the expressions inside the square roots) must also be equal. sqrt(–4 − 10k) = sqrt(–8k) –4 − 10k = –8kAdd 8k: Add 8k to both sides of the equation to isolate terms with k on one side. –4 − 10k + 8k = –8k + 8k –4 − 2k = 0Add 4: Add 4 to both sides of the equation to solve for k. –4 + 4 − 2k = 0 + 4 −2k = 4Divide by -2: Divide both sides by -2 to find the value of k. −2k / -2 = 4 / -2 k = -2

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Solve for $k$ . $\newline$ $\sqrt{(-4 - 10k)} = \sqrt{-8k}$ $\newline$ $k =$ _____

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Q. Solve for

k

\newline

\sqrt{(-4 - 10k)} = \sqrt{-8k}

\newline

k =

_____

Set Equal Square Roots: Set the expressions inside the square roots equal to each other because if two non-negative square roots are equal, their radicands (the expressions inside the square roots) must also be equal. $\sqrt{-4 - 10k} = \sqrt{-8k}$ $-4 - 10k = -8k$
Add $8k$ : Add $8k$ to both sides of the equation to isolate terms with $k$ on one side. $\newline$ $–4 − 10k + 8k = –8k + 8k$ $\newline$ $–4 − 2k = 0$
Add $4$ : Add $4$ to both sides of the equation to solve for $k$ . $\newline$ $-4 + 4 - 2k = 0 + 4$ $\newline$ $-2k = 4$
Divide by $-2$ : Divide both sides by $-2$ to find the value of $k$ . $\frac{-2k}{-2} = \frac{4}{-2}$ $k = -2$