무리함수

In the following exercises, solve.

$3\sqrt{2x-3}-20=7$

In the following exercises, solve.

$2\sqrt{5x+1}-8=0$

In the following exercises, solve.

$2\sqrt{8r+1}-8=2$

In the following exercises, solve.

$3\sqrt{7y+1}-10=8$

In the following exercises, solve.

$\sqrt{3u-2}=\sqrt{5u+1}$

In the following exercises, solve.

$\sqrt{4v+3}=\sqrt{v-6}$

In the following exercises, solve.

$\sqrt{8+2r}=\sqrt{3r+10}$

In the following exercises, solve.

$\sqrt{12c+6}=\sqrt{10-4c}$

In the following exercises, solve.

ⓐ $\sqrt{a}+2=\sqrt{a+4}$ ⓑ $\sqrt{b-2}+1=\sqrt{3b+2}$

In the following exercises, solve.

ⓐ $\sqrt{r}+6=\sqrt{r+8}$ ⓑ $\sqrt{s-3}+2=\sqrt{s+4}$

In the following exercises, solve.

ⓐ $\sqrt{u}+1=\sqrt{u+4}$ ⓑ $\sqrt{n-5}+4=\sqrt{3n+7}$

In the following exercises, solve.

ⓐ $\sqrt{x}+10=\sqrt{x+2}$ ⓑ $\sqrt{y-2}+2=\sqrt{2y+4}$

In the following exercises, solve.

$\sqrt{2y+4}+6=0$

In the following exercises, solve.

$\sqrt{8u+1}+9=0$

In the following exercises, solve.

$\sqrt{a}+1=\sqrt{a+5}$

In the following exercises, solve.

$\sqrt{d}-2=\sqrt{d-20}$

In the following exercises, solve.

$\sqrt{6s+4}=\sqrt{8s-28}$

In the following exercises, solve.

$\sqrt{9p+9}=\sqrt{10p-6}$

Explain why an equation of the form $\sqrt{x}+1=0$ has no solution.

• ⓐ Solve the equation $\sqrt{r+4}-r+2=0$.
• ⓑ Explain why one of the “solutions” that was found was not actually a solution to the equation.