Question

solving radical equations

solve each of the following equations algebraically. check your answer graphically.

write you answer as an equation using integer values or reduced fractions.

original equation | equation solved for x
--- | ---
\\(6\sqrt{x+6} = 24\\) |
\\(\sqrt{5x+4} - 8 = 0\\) |
\\(6\sqrt{4x-6} = 24\\) |
\\(\sqrt{6x+2} = \sqrt{-2x+16}\\) |

Explanation:

Solve the first radical equation

$$
LATEXBLOCK0
$$

Solve the second radical equation

$$
LATEXBLOCK1
$$

Solve the third and fourth radical equations

$$
LATEXBLOCK2
$$

$$
LATEXBLOCK3
$$

Answer:

Original Equation	Equation solved for x
\(\sqrt{5x+4}-8 = 0\)	\(x = 12\)
\(6\sqrt{4x-6} = 24\)	\(x = \frac{11}{2}\)
\(\sqrt{6x+2} = \sqrt{-2x+16}\)	\(x = \frac{7}{4}\)