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Algebra 1 Quadratic Equations Solution of Problems
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Solution of problems involving Quadratic Equations
Example: the sum of two number is 9. if the sum of their reciprocals is 9/20, find the numbers.
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Solution: let the required numbers be x and 9 - x. then,
9 / {x(9 - x) }= 9 /20
9 * 20 = 9 * x(9 - x)
180 = 81x - 9x2
9x2 - 81x + 180
x2 - 9x + 20
x2 - 4x - 5x + 20
x(x - 4)-5(x - 4)
(x - 5)(x - 4)
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