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Solve for
x :

sqrt(2x+26)-10=-4
Answer:

Solve for $\mathrm{x}$ : $\newline$ $\sqrt{2 x+26}-10=-4$ $\newline$ Answer:

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Relationship between squares and square roots

Full solution

Q. Solve for

\mathrm{x}

:

\newline

\sqrt{2 x+26}-10=-4

\newline

Answer:

Isolate square root: First, isolate the square root on one side of the equation by adding $10$ to both sides. $\newline$ $\sqrt{2x+26} - 10 + 10 = -4 + 10$ $\newline$ This simplifies to: $\newline$ $\sqrt{2x+26} = 6$
Square both sides: Next, square both sides of the equation to eliminate the square root. $\newline$ $(\sqrt{2x+26})^2 = 6^2$ $\newline$ This results in: $\newline$ $2x + 26 = 36$
Subtract and solve: Now, subtract $26$ from both sides to solve for $2x$ . $\newline$ $2x + 26 - 26 = 36 - 26$ $\newline$ This simplifies to: $\newline$ $2x = 10$
Divide and find x: Finally, divide both sides by $2$ to solve for $x$ . $\newline$ $\frac{2x}{2} = \frac{10}{2}$ $\newline$ This gives us: $\newline$ $x = 5$

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