Solve Quadratic Equations by Finding Square Roots Section 4.5 Solve Quadratic Equations by Finding Square Roots

California Standard: 8.0: Students solve and graph quadratic equations by factoring or completing the square or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system.

OBJECTIVE(S): By following instructions, students will be able to: Use factoring to solve quadratic equations by finding square roots.

Note: Where and

Note: Where and

EXAMPLE 1: Simplify a) b) c) d)

U-TRY#1: Simplify the expression. c) b) d) 7

Def: Rationalizing the Denominator is the process of eliminating a radical from an expression’s denominator. If the denominator has… Then multiply numerator and denominator by:

EXAMPLE 2: Simplify a) b)

EXAMPLE 3: Solve .

EXAMPLE 4: Solve .

U-TRY#2: Simplify the expression (a-b). Solve (c-d). c) b) d) 12

EXAMPLE 5: For a science competition, students must design a container that prevents an egg from breaking when dropped from a height of 50 feet. How long does the container take to hit the ground?

HOMEWORK Sec 4.5 WS