Asked by Jason
solve:
(1/(x-10)+(1/20)=(1/(20(x^2-100))
(1/(x-10)+(1/20)=(1/(20(x^2-100))
Answers
Answered by
Steve
1/(x-10) + 1/20 = 1/[20(x-10)(x+10)]
put all over a common denominator
20(x-10)(x+10)
20(x+10) + (x-10)(x+10) = 1
20x + 200 + x^2 - 100 = 1
x^2 + 20x +99 = 0
(x+9)(x+11) = 0
x = -9 or -11
put all over a common denominator
20(x-10)(x+10)
20(x+10) + (x-10)(x+10) = 1
20x + 200 + x^2 - 100 = 1
x^2 + 20x +99 = 0
(x+9)(x+11) = 0
x = -9 or -11
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