Solving Quadratic Equations

Solve by Square Roots

100

Solve the quadratic using square roots:

x²=16

x=4, -4

200

Solve the quadratic by square roots:

x²=75

x=\pm5\sqrt{3},

300

Solve the quadratic by square roots:

2x²=-144

No solution

400

Solve the quadratic by using square roots:

9x²+10=91

x=3,-3

500

Solve the quadratic by using square roots:

3-4x²=-77

x=\pm2\sqrt{5}

Solve by using the Quadratic Formula

100

Solve the equation using the Quadratic Formula:

2x²-7x-3=0

x=\frac{7 \pm \sqrt{73}}{4}

200

Solve the equation using the Quadratic Formula:

9x²-7x-4=0

x=\frac{7 \pm \sqrt{193}}{18}

300

Solve the equation using the Quadratic Formula:

8x²+7x-8=0

x=\frac{-7 \pm \sqrt{305}}{16}

400

Solve the equation using the Quadratic Formula:

2x²+2x-12=0

x=2,-3

500

Solve the equation using the Quadratic Formula:

9x²+4x-16=0

x= (-2+- 2sqrt(37))/9

x=\frac{-2 \pm 2\sqrt{37}}{9}

Misc.

100

When given a graph, how do you find the solutions to the equation graphed?

Find the x-intercepts. The x-intercepts are the solutions.

200

Simplify the radical:

\sqrt{125}

x=\pm5\sqrt{5}

300

Find the solutions using the set of points from the equation:

(-5,-10 ) (4, 0) (2, 8) (0, -8) (-3, -2) (-2, 0)

x= 4, -2

400

Write the quadratic formula

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

500

x^2 = -1

No solution (or i and -i)