Solve \((2x-3)^2=25\)

Solve \((3x-1)^2=-12\)

Solve \(x^2+6x+9=12\)

Solve \(x^2-6x+5=0\)

Solve by completing the square: \(x^2+5x-2=0\)

Solve \(3x^2-8x+7=0\)

Find the \(x\)-intercepts of the function \(f(x)=x^2+6x+7\)

If the shortest side in a \(30^\circ-60^\circ-90^\circ\) triangle is 1 inch, find the lengths of the other two sides.

The vertical rise of the Forest Double chair lift is \(1,170\) feet and the length of the chair lift is \(5,750\) feet. To the nearest foot, find the horizontal distance covered by a person riding this lift.

Solve \(x^2-5x-6=0\)

Solve \(2x^2=-4x+3\)

Solve \(x^2-6x=-7\)

Solve \(\displaystyle\frac{1}{10}x^2-\displaystyle\frac{1}{5}x=-\displaystyle\frac{1}{2}\)

Solve \((2x-3)(2x-1)=-4\)

Solve \(27t^3-8=0\)

If an object is thrown downward with an initial velocity of \(20\) feet per second, the distance \(s(t)\), in feet it travels in \(t\) seconds is given by the function \(s(t)=20t+16t^2\). How long does it take the object to fall \(40\) feet?

A company produces and sells copies of an accounting program for home computers. The total weekly cost (in dollars) to produce \(x\) copies of the program is \(C(x)=8x+500\), and the weekly revenue for selling all \(x\) copies of the program is \(R(x)=35x-0.1x^2\). How many programs must be sold each week for the weekly profit to be \(\$1\text{,}200\)?

Additional Problem
Solve \(\displaystyle\frac{1}{x+2}-\displaystyle\frac{1}{x}=\displaystyle\frac{1}{3}\)

Find the number and kind of solutions for the equation.

1. \(x^2-3x-40=0\)

2. \(2x^2-3x-40=0\)

3. \(4x^2-12x+9=0\)

4. \(x^2+6x=8\)

Find \(k\) so that the equation \(4x^2-kx=-9\) has one rational solution.

Find an equation that has solutions \(t=5\), \(t=-5\), and \(t=3\).

Find an equation with solutions \(x=-\dfrac{2}{3}\) and \(x=\dfrac{4}{5}\).

Find an equation that has a solution of \(x=-3\) of multiplicity \(1\) and a solution of \(x=4\) of multiplicity \(2\).

Find an equation with solutions of \(x=\dfrac{-2+i}{3}\) and \(x=\dfrac{-2-i}{3}\)

Find an equation with solution of \(x=-4\pm \sqrt{5}\)

Solve \((x+3)^2-2(x+3)-8=0\)

Solve \(4x^4+7x^2=2\)

Solve \(x+\sqrt{x}-6=0\)

If an object is tossed into the air with an upward velocity of \(12\) feet per second from the top of a building \(h\) feet high, the time it takes for the object to hit the ground below is given by the formula \(16t^2-12t-h=0\). Solve for \(t\).

Graph: \(f(x)=x^2+2\) and \(g(x)=x^2-2\).

Sketch the graph of \(y=x^2-6x+5\).

Graph \(y=-x^2-2x+3\)

Graph \(y=3x^2-6x+1\)

Graph \(y=-2x^2+6x-5\)

A company selling copies of an accounting program finds that it will make a weekly profit \(P\) dollars from selling \(x\) copies according to the equation \[P(x)=-0.1x^2+27x-500.\] How many copies should it sell to make the largest possible profit and what is the largest possible profit?

An art supply store can sell \(x\) sketch pads each week at \(p\) dollars, according to the equation \(x=900-300p\). Graph the revenue equation \(R=xp\). Then use the graph to find the price \(p\) that will bring in the maximum revenue. Find the maximum revenue.

At the \(1997\) Washington County Fair in Oregon. David Smith, Jr., The Bullet, was shot from a cannon. He reached a height of \(70\) feet before landing in a net \(160\) feet from the cannon. Sketch the graph of his path, and then find the equation of the graph.

Solve \(x^2-2x-8 \leq 0\)

Solve \(6x^2-x \geq 2\)

Solve \(x^2-6x+9\geq 0\)

Solve the inequality: \(\; (x+3)(x-2)(x-4)<0\)

Solve \(\displaystyle\frac{x-4}{x+1}\leq 0\)

Solve \(\displaystyle\frac{3}{x-2}-\displaystyle\frac{2}{x-3}>0\)

Solve the inequality \[\dfrac{x+1}{3x-6}\leq\dfrac{1}{x^2-3x+2}\]