10.1 D2 Solving by Square Roots

10.1 D2: Solving by Square Roots

​Learning Goal:

I can solve quadratic equations by using square roots properties.

Multiple Choice

Solve $$x^2=169$$

• $$\pm13$$

• $$\pm14$$

• $$\pm15$$

• $$\pm16$$

Multiple Choice

Solve $$-3x^2=-75$$

• $$\pm9$$

• $$\pm7$$

• $$\pm5$$

• $$\pm3$$

Multiple Choice

Solve $$3x^2-27=0$$

• $$\pm9$$

• $$\pm7$$

• $$\pm5$$

• $$\pm3$$

​Example 1a: Solve using square roots

​Example 1b: Solve using square roots

​Example 2a: Solve using square roots

​Example 2b: Solve using square roots

​Example 2c: Solve using square roots

​Example 3a: Solve using square roots

​Example 3b: Solve using square roots

Multiple Choice

$$2n^2=-144$$

• $$\left\{12,-12\right\}$$

• $$\left\{-72,\ 72\right\}$$

• $$\left\{-72\right\}$$

• No solution

Multiple Choice

$$n^2-14=-14$$

• $$\left\{2,-12\right\}$$

• $$\left\{-1,\ 1\right\}$$

• $$\left\{0\right\}$$

• No solution

Multiple Choice

$$-5x^2=-500$$

• $$\left\{-10,\ 10\right\}$$

• $$\left\{-12,\ 12\right\}$$

• $$\left\{10\right\}$$

• No solution

Multiple Choice

$$25x^2-2=7$$

• $$\left\{\frac{3}{5},-\frac{3}{5}\right\}$$

• $$\left\{-\frac{5}{3},\ \frac{5}{3}\right\}$$

• $$\left\{\pm10\right\}$$

• No solution

Multiple Choice

$$\left(x-2\right)^2=25$$

• $$\left\{-7,\ 3\right\}$$

• $$\left\{-3,\ 7\right\}$$

• $$\left\{\pm7\right\}$$

• No solution

Multiple Choice

$$Solve\ \left(x-1\right)^2=25$$

• $$\left\{-4,\ 6\right\}$$

• $$\left\{4,\ 6\right\}$$

• $$\left\{4,-6\right\}$$

• $$\left\{-4,-6\right\}$$