How do you solve #4+ \frac { 1} { u - 2} = - \frac { 3} { u - 3}#?

1 Answer
moon l.
Jul 9, 2017

# u = 5/2 or u = 3/2 #

Explanation:

#(4(u-2) + 1 )/ (u-2) = -3/(u-3) #
#(4u - 7 )/ (u-2) = -3/(u-3) #

#(4u -7)(u-3) = -(3u-6)#
#4u^2 -19u + 21 = 6 - 3u #
# 4u^2 -16u + 15 = 0#
# (2u-5)(2u-3)= 0 #
# u = 5/2 or u = 3/2 #

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