SOLUTION: A swimming pool has dimensions, in meters, given by the roots of the quadratic equation x2 - 25x + 150 = 0 Solve the equation to find the width and length of the pool

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A swimming pool has dimensions, in meters, given by the roots of the quadratic equation x2 - 25x + 150 = 0 Solve the equation to find the width and length of the pool      Log On


   



Question 1042130: A swimming pool has dimensions, in meters, given by the roots of the quadratic equation x2 - 25x + 150 = 0
Solve the equation to find the width and length of the pool

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 -25x + 150 = 0
:
find the prime factors of 150
:
prime factors are 5 * 5 * 3 * 2
:
we can now factor the given quadratic
:
(x-15) * (x-10) = 0
:
x = 15 and x = 10
:
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width of the pool is 10 meters
length of pool is 15 meters
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