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4 steps for solving a quadraticequation 1. Set the equation equal to 0. Set = 0 2. Factor the equation. Factor Split/Solve 3. Set each part equal to 0 and Check solve. 4. Check your answer on the calculator.
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4. Solve x2 - 11x = 0 GCF = x Set = 0 x(x - 11) = 0 Factor Split/Solve x = 0 or x - 11 = 0 Check x = 0 or x = 11 {0, 11}
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5. Solve. -24a +144 = -a2 Put it in descending order. Set = 0 a2 - 24a + 144 = 0 Factor Split/Solve (a - 12)2 = 0 Check a - 12 = 0 a = 12 {12}
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Solve 4r3 – 16r = 01. {-16, 4}2. {-4, 16}3. {0, 2}4. {0, 4}5. {-2, 0, 2} The degree will tell you how many answers you have!
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Maria told this puzzle to her friends. “The productof four times my age and 45 less than three timesmy age is zero. How old am I?” Find Maria’s age. Let m = Maria’s age. 4m(3m - 45) = 0 4m = 0 or 3m - 45 = 0 m = 0 or 3m = 45 m = 0 or m = 15 0 is not reasonable so Maria is 15 years old!!
15.
Find two consecutive integers whose product is 240. Let n = 1st integer. Let n + 1 = 2nd integer. Set = 0 n(n + 1) = 240 Factor Split/Solve n2 + n = 240 Check n2 + n – 240 = 0 (n – 15)(n + 16) = 0
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(n – 15)(n + 16) = 0 n – 15 = 0 or n + 16 = 0 n = 15 or n = -16 The consecutive integers are 15, 16 or -16, -15.
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