8/x+15/x^2=-1?

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Answer 1 · 2018-05-21T16:16:57

#x=-3 or x =-5#

Multiply everything by #x^2# to remove the fractions.

#x^2xx8/x +x^2xx15/x^2=x^2xx-1#

#(8x^2)/x +(15x^2)/x^2=-x^2#

#8x+15=-x^2#

Add #x^2# to both sides

#x^2+8x+15=0#

Factorise

#(x +3)(x +5)=0#

# x +3=0 or x +5=0#

#x=-3 or x=-5#