# Solving Quadratic Equations (Quadratic Formula, Radicals and Complex / Imaginary Roots)

- 1Solve by factoring. $$3x^2+4x-15=0$$
- 2Solve by factoring. $$6x^2=3-7x$$
- 3Solve. Show exact and approximate answers to two decimal places.

$$4x^2-12x+7=0$$

When you can't factor easily use the quadratic formula: $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ - 4Solve. ( answer in the form a+bi ) ($x \in C$). $$x^2+2x+2=0$$
- 5Solve. Show exact and approximate answers to two decimal places. $$3x^2-2=-6x$$
- 6Solve. ( answer in the form a+bi ) ($x \in C$). $$x^2-4x+12=0$$

Good test question ! - 7Solve. Show exact and approximate answers to two decimal places. $$2x^2-6x=1$$
- 8Solve. ( answer in the form a+bi ) ($x \in C$). $$2x^2-3x+9=0$$
- 9Solve. Show exact and approximate answers to two decimal places. $$x^2+\frac{3}{2}x-\frac{1}{4}=0$$
- 10Solve. Show exact and approximate answers to two decimal places. $$x^2+\frac{2}{3}x-\frac{1}{6}=0$$
- 11Solve. ( answer in the form a+bi ) ($x \in C$). $$x^2+2ix+3=0$$

Good test question ! - 12Solve. ( answer in the form a+bi ) ($x \in C$). $$ix^2+x-3i=0$$ Tough question!

$$e=mc^2$$