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section14

# section14 - two squares by completing the square 1 √ 16-6...

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MAT 111 - College Algebra Section 1.4 Quadratic Equations General form of a quadratic equation is ax 2 + bx + c = 0 where a , b and c are real numbers such that a = 0. How to solve quadratic equations: 1. Factoring Examples: solve the following (a) x 2 - 6 x - 7 = 0 (b) x 2 - 10 x = - 9 2. Extracting Square Roots Examples: Solve the following (a) x 2 = 169 (b) 9 x 2 = 36

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(c) ( x - 5) 2 = 30 3. Completing the Square Examples: (a) Solve the equation x 2 + 26 x + 144 = 0. (b) Rewrite the quadratic portion of the algebraic expression as the sum or difference of
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Unformatted text preview: two squares by completing the square. 1 √ 16-6 x-x 2 4. Quadratic Formula Examples: Solve the following (a) x 2-10 x-5 = 0 (b) 5 x 2-4 x + 1 = 0 Applications: An open box is to be made from a square piece of material by cutting 2 centimeter squares from the corners and turning up the sides. The volume of the ﬁnished box is to be 200 cube centimeters. Find the size of the original piece of material....
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section14 - two squares by completing the square 1 √ 16-6...

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