10.2 D1 Quadratic Formula

10.2 D1: Quadratic Formula

Learning Goal:

• I can solve quadratic equations by using the quadratic formula.

Multiple Choice

Solve by square roots.

$$2\left(m-5\right)^2=14$$

• $$m=\pm\sqrt{\ 7}+5$$

• $$m=\pm12$$

• No solution

Multiple Choice

Solve by square roots.

$$\left(3x-4\right)^2=12$$

• $$m=\frac{\pm2\sqrt{\ 3}+4}{3}$$

• $$m=\pm9$$

• No solution

Multiple Choice

Solve by square roots.

$$-8+81x^2=56$$

• $$m=\pm\sqrt{\ \frac{8}{9}}$$

• $$m=\pm\frac{8}{9}$$

• No solution

​Quadratic Formula

​Example 1a

​Example 1b

​Example 2a

​Example 2b

Multiple Choice

Solve by Quadratic Formula.

$$x^2-3x+2=0$$

• $$\left\{2,\ 1\right\}$$

• $$\left\{-2,\ 1\right\}$$

• $$\left\{2,-1\right\}$$

• $$\left\{-2,-1\right\}$$

Multiple Choice

Solve by Quadratic Formula.

$$2x^2+6x-5=0$$

• $$x=-1+\sqrt{\ 22}$$

• $$x=\frac{-3\pm\sqrt{\ 19}}{2}$$

• $$x=1+\sqrt{\ 23}$$

• $$x=1\pm\sqrt{\ 23}$$

Multiple Choice

Solve by Quadratic Formula.

$$-4x^2+19x-21=0$$

• $$\left\{-\frac{7}{4},-3\right\}$$

• $$\left\{-\frac{7}{4},\ 3\right\}$$

• $$\left\{\frac{7}{4},\ 3\right\}$$

• $$\left\{\frac{7}{4},-3\right\}$$

Multiple Choice

Solve by Quadratic Formula.

$$8x^2-8x-5=0$$

• $$x=\frac{2\pm\sqrt{\ 14}}{4}$$

• $$\left\{3,\ 4\right\}$$

• $$\left\{\frac{7}{4},\ 3\right\}$$

• $$\left\{\frac{7}{4},-3\right\}$$