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Solve the equation x-2/x+4 + x+4/x-2=17/4 . . . . ANSWER = {4,-6}
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take LCM
\[\frac{ x-2 }{ x+4 }+\frac{ x+4 }{ x-2 }=\frac{ 17 }{ 4}\]
ok
what you got on taking LCM , and then simplifying.
\[\frac{ 2x^2+4x+20 }{ x^2+2x-8 }=\frac{ 17 }{ 4 }\]
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now cross multiply
ok
what eq. you got?
wait
\[9x^2+18x-216=0\]
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divide by 9
then factorise
how will it factorize
\[x^{2}+2x-24=0\] \[x^{2}+6x-2x-24=0\]
ok
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second equation not equal first equation
yes
something went wrong
soryy
it is 6x-4x
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yeah
thanks
x=-6 and x=4
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