How do you solve #\frac { x + 7} { 6} + \frac { 30} { x - 8} = 7#?

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Answer 1 · 2018-06-19T18:14:22

#x_1=23# or #x_2=20#

It must be #xne 8# so we get

#(x+7)(x-8)+30*6=7*6*(x-8)#
multiplying out

#x^2+7x-8x-56+180=42*(x-8)#
so
we get

#x^2-43x+450=0#

#x_(1,2)=43/2pmsqrt(43^2/4-460)#

#x_(1,2)=43/2pm3/2#

#x_1=23#
#x_2=20#