CP - Lesson: Solve Quadratics using Sq. Rts (pt 2)

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Solve Quadratic Equations using Square Roots
(part 2)

Objective: Solve simple quadratic equations.​

Multiple Choice

Solve: 5x² + 8 = 88

• $$\pm4$$

• $$\pm16$$

• $$\pm8$$

• $$\pm40$$

• $$\pm5$$

REVIEW

Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

EXAMPLE with NON Perfect Squares

3x² - 4 = 35

3x² = 39

+4

+4

3

3

x² = 13

Multiplication Property
of Square Roots

Multiple Choice

Simplify: $$\sqrt[]{75}$$

• $$5\ \sqrt[]{3}$$

• $$25\ \sqrt[]{3}$$

• $$3\ \sqrt[]{5}$$

• $$3\ \sqrt[]{25}$$

Match

Match the following radicals with their simplified form.

• $$\sqrt[]{24}$$

• $$\sqrt[]{28}$$

• $$\sqrt[]{18}$$

• $$\sqrt[]{27}$$

• $$2\ \sqrt[]{6}$$

• $$2\ \sqrt[]{7}$$

• $$3\ \sqrt[]{2}$$

• $$3\ \sqrt[]{3}$$

Equations with Square Roots

EXAMPLES

​x² - 14 = 82

​5x² + 6 = 306

Multiple Choice

Solve: x² - 5 = 13

• $$\pm9\ \sqrt[]{2}$$

• $$\pm18\ \sqrt[]{2}$$

• $$\pm3\ \sqrt[]{2}$$

• $$\pm2\ \sqrt[]{9}$$

Math Response

Solve: 2x² - 19 = 29

(for this one just give the positive answer)

Type answer here

Correct Answer: 2\sqrt{6}

Deg^°

Rad

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