4.5 Solve Quadratic Equations by finding the square roots.

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4.5 Solve Quadratic Equations by finding the
square roots.
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EXAMPLE 1
Properties of square roots
Pg. 266 1-8
Simplify the expression
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EXAMPLE 2
Rationalize denominators of fractions.
Simplify
and
(a)
(b)
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for Examples 2, 3, and 4
GUIDED PRACTICE
GUIDED PRACTICE
Simplify the expression.

ANSWER
ANSWER

ANSWER
ANSWER

ANSWER
ANSWER
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EXAMPLE 3
Solve a quadratic equation
Solve 3x2 5 41.
Sequence of steps 1.) Isolate the quadratic 2.)
Take the square root 3.) simplify to exact
solutions. 4.) Check the solution.
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Solve a quadratic equation
EXAMPLE 4
Sequence of steps 1.) Isolate the quadratic 2.)
Take the square root 3.) simplify to exact
solutions. 4.) Check the solution.
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for Examples 2, 3, and 4
GUIDED PRACTICE
Solve the equation.

5x2 80
ANSWER

z2 7 29
ANSWER

3(x 2)2 40
ANSWER
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EXAMPLE 5
Model a dropped object with a quadratic function
Science Competition
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 ?