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Published byEzra Austin Modified over 5 years ago

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**1.5 Solving Quadratic Equations by Finding Square Roots**

(p. 32) How do you simplify radicals? What are the steps to rationalize a denominator? What is a conjugate? How many answers will you get when you solve a quadratic equation by finding square roots? Identify the formula h = −16t2 + h0?

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**How would you solve the equation: x2 = 4**

(take the square root of each side!) * Remember, the square root of a positive # has 2 answers! (one + and one -)

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Radical Radical sign Radicand

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**Properties of Square Roots**

(a>0 and b>0) Product Property – Quotient Property- Example: Example:

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Examples 1. 2. 3.

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**Rationalizing the Denominator**

You CANNOT leave a radical in the denominator of a fraction! No tents in the basement!!!! (the numerator is OK) Just multiply the top & bottom of the fraction by the radical to “rationalize” the denominator.

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**Can’t have a tent in the basement!**

More Examples! 1. 2. Can’t have a tent in the basement!

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Conjugates

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**Rationalize the denominator of fractions**

SOLUTION

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Guided Practice

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**Solving Quadratic Equations**

Solve x2 = -9 -5x2 = -12 x2 = Solve. 3(x-2)2=21 (x-2)2 = 7

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More Examples! 4. Solve. Solve. 4x2-6=42 +6 +6 4x2=48 x2 = 12

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**Falling Objects! Use h = -16t2 + h0**

Height of the object after it has fallen Object’s initial height # of seconds after the object is dropped

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Example The tallest building in the USA is in Chicago, Illinois. It is 1450 ft. tall. How long would it take a penny to drop from the top of the building to the ground?

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**How do you simplify radicals?**

What are the steps to rationalize a denominator? What is a conjugate? How many answers will you get when you solve a quadratic equation by finding square roots? Identify the formula h = −16t2 + h0?

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Assignment p. 35, 4-18 even, even, 38, 39

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