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marishachu [46]
3 years ago
6

Solve the equation algebraically. Support your answer numerically and identify any extraneous solution

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

1/x - 2/(x-3) = 4

multiply each side by x*(x-3)

x*(x-3)(1/x - 2/(x-3)) = 4*x*(x-3)

distribute

x*(x-3)(1/x) - 2/(x-3))x*(x-3) = 4*x*(x-3)

cancel

(x-3) - 2*x = 4x(x-3)

distribute

x-3-2x = 4x^2-12x

combine like terms

-x-3 = 4x^2 -12x

add x+3 to each side

0 = 4x^2 -12x+x+3

0 = 4x^2 -11x+3

using the quadratic formula

x= 11/8 - sqrt (73)/8

x=11/8 + sqrt (73)/8

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