Solve for x : sqrt(6x+43)-2=3 Answer:

Isolate square root: First, we need to isolate the square root on one side of the equation. To do this, we add 2 to both sides of the equation. sqrt(6x + 43) - 2 + 2 = 3 + 2 sqrt(6x + 43) = 5Square both sides: Next, we square both sides of the equation to eliminate the square root. (sqrt(6x + 43))^2 = 5^2 6x + 43 = 25Solve for x: Now, we need to solve for x. We subtract 43 from both sides of the equation to isolate the term with x. 6x + 43 - 43 = 25 - 43 6x = -18Divide to find x: Finally, we divide both sides by 6 to solve for x. 6x / 6 = -18 / 6 x = -3

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Solve for $\mathrm{x}$ : $\newline$ $\sqrt{6 x+43}-2=3$ $\newline$ Answer:

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Q. Solve for

\mathrm{x}

\newline

\sqrt{6 x+43}-2=3

\newline

Answer:

Isolate square root: First, we need to isolate the square root on one side of the equation. To do this, we add $2$ to both sides of the equation. $\sqrt{6x + 43} - 2 + 2 = 3 + 2$ $\sqrt{6x + 43} = 5$
Square both sides: Next, we square both sides of the equation to eliminate the square root. $\newline$ $(\sqrt{6x + 43})^2 = 5^2$ $\newline$ $6x + 43 = 25$
Solve for x: Now, we need to solve for x. We subtract $43$ from both sides of the equation to isolate the term with $x$ . $\newline$ $6x + 43 - 43 = 25 - 43$ $\newline$ $6x = -18$
Divide to find $x$ : Finally, we divide both sides by $6$ to solve for $x$ . $\frac{6x}{6} = \frac{-18}{6}$ $x = -3$