Solve $x^2=49$.

Solve $x^2=72$ and simplify.

Solve $2(x-3{)}^2+10=0$.

In the quadratic $x^2+8x+7$, if you split the middle term into two rectangles of equal width and place them adjacent to the $x$-by-$x$ square, what is the area of the small corner square that you will need to add the value of in order to complete the square?

Rewrite $4x^2+24x+25$ in vertex form by completing the square.

Which scenario best explains why using the completing the square method is preferable over using factoring or immediately using the quadratic formula?

Compute the discriminant of $x^2-8x+16=0$ and state how many real solutions the equation has.

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

A small business models profit as $P\left(x\right)=-x^2+40x-375$, where $x$ is the number of thousands of units sold. For which production levels $x$ does the profit equal zero? Use the quadratic formula and provide solutions in exact form.

Which classification best fits the complex number $-8i$?

Simplify $\sqrt{-50}$.

Compute $(2+3i\sqrt{2})+(5-i\sqrt{2})$ and write the result in standard form.