SOLUTION: 1.Let f(x) = (x - 8)2. Find x so that f(x) = 100 2.Write a quadratic equation having the given numbers as solutions. 3, -8

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1.Let f(x) = (x - 8)2. Find x so that f(x) = 100 2.Write a quadratic equation having the given numbers as solutions. 3, -8       Log On


   



Question 247141: 1.Let f(x) = (x - 8)2. Find x so that f(x) = 100
2.Write a quadratic equation having the given numbers as solutions.
3, -8

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.Let f(x) = (x - 8)^2. Find x so that f(x) = 100
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100 = (x-8)^2
Rearrange:
(x-8)^2-100 = 0
Factor:
(x-8-10)(x-8+10) = 0
(x-18)(x+2) = 0
x = 18 or x = -2
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2.Write a quadratic equation having the given numbers as solutions.
3, -8
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f(x) = (x-3)(x+8)
f(x) = x^2 + 5x - 24
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Cheers,
Stan H.