1.7_solving equations by finding square roots.notebook
November 21, 2014
1.7: Solving Quadratic Equations by Finding Square Roots
1.7_solving equations by finding square roots.notebook
November 21, 2014
There are three main ways to solve quadratic equations:
1. Factoring (we've already done)
2. Using square roots (doing today)
3. Quadratic Formula (1.9 notes)
1.7_solving equations by finding square roots.notebook
November 21, 2014
There are two types of solutions to quadratic equations:
1. Real ­ two types:
Rational
Irrational
2. Imaginary 1.7_solving equations by finding square roots.notebook
November 21, 2014
Real Solutions:
Rational
> ordered pair is a whole number or a decimal that ends or has a pattern 1.7_solving equations by finding square roots.notebook
November 21, 2014
Irrational:
crosses at a point that is a decimal that never ends and has no pattern
1.7_solving equations by finding square roots.notebook
imaginary solutions:
never crosses x­axis
November 21, 2014
1.7_solving equations by finding square roots.notebook
*Remember, √x2 has two solutions:
+x and ­x
Example: √16 = ±4 November 21, 2014
1.7_solving equations by finding square roots.notebook
November 21, 2014
Directions: Tell if your answer is real or imaginary. If it is real, state if it rational or irrational
1.7_solving equations by finding square roots.notebook
Ex 1: solve a2 = 49
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1.7_solving equations by finding square roots.notebook
November 21, 2014
Ex 2: solve b2 = 289
1.7_solving equations by finding square roots.notebook
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Ex 3: solve 6c2 = 150
1.7_solving equations by finding square roots.notebook
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Ex 4: solve 3d2 = 432
1.7_solving equations by finding square roots.notebook
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Ex 5: solve e2 = 50
1.7_solving equations by finding square roots.notebook
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Ex 6. solve 4f2 = 448
1.7_solving equations by finding square roots.notebook
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Ex 7: Solve 3g2 + 5 = 41
1.7_solving equations by finding square roots.notebook
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Ex 8: Solve 2h2 ­ 15 = 65
1.7_solving equations by finding square roots.notebook
November 21, 2014
Ex 9: Solve 1/5(j + 3)2 = 7
1.7_solving equations by finding square roots.notebook
Ex 10: Solve 1/3(k ­ 4)2 = 11
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1.7_solving equations by finding square roots.notebook
November 21, 2014
1.7_solving equations by finding square roots.notebook
November 21, 2014
1.7_solving equations by finding square roots.notebook
3x2 + 28 = 1
November 21, 2014
1.7_solving equations by finding square roots.notebook
x2 + 38 = 2
November 21, 2014