Simplify and state excluded values: $\frac{x^2-5x+6}{x^2-4}$

Add the rational expressions: $\frac{2}{x+3}+\frac{x}{x^2+6x+9}$

Add the rational expressions: $\frac{2}{x+1}+\frac{3}{x-2}$

Solve the rational equation $\frac{2}{x}+\frac{3}{x+2}=1$:

A gardener finds that the required fertilizer mass $y$, in units of $\text{kg}$, will vary directly with the garden area $A$, in units of $\text{m}{}^2$, and will vary inversely with the fertilizer concentration $c$, in units of $\frac{\text{kg}}{{\text{m}}^2}$ (for the recommended strength), such that $y=\frac{kA}{c}$. If the gardener uses 50 $\text{kg}$ of fertilizer for a 200 ${\text{m}}^2$ plot with a concentration of $c=2$, determine how many kilograms will be needed for a 300 ${\text{m}}^2$ plot at concentration of $c=3$.

Solve for $x$: $\sqrt{x+6}=4$

Compute $\sqrt{2}\cdot \sqrt{18}$ and give the final simplified numerical answer.

Compute and simplify completely: $4\sqrt{18}+2\sqrt{50}$

Rationalize and simplify: $\frac{2+\sqrt{7}}{4-3\sqrt{7}}$

Solve $(2x+3{)}^2=50$ and simplify the answers.

Solve $x^2+\frac{7}{2}x-3=0$ by completing the square. Give the exact roots in the simplest radical form.

Solve $2x^2+4x+7=0$ and give the roots in simplest $a+bi$ form.

Simplify $\sqrt{-72}$ fully, extracting perfect-square factors and following notation conventions.

Rationalize and simplify $\frac{3}{2-5i}$, and express the result in standard form $a+bi$ in lowest terms.

Which expression is equivalent to $\sqrt{-45}$ in simplest form?

Given $f\left(x\right)=x^2$, compute $f\left(3\right)$ and explain which point you would plot for $x=3$ on the Cartesian plane.