6/r + 5 minus 2/r = -1

Would you cross multiply this one?
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1 Answer

I read this as 6/(r+5)-2/r=-1.

Multiply through by LCM r(r+5): 6r-2(r+5)=-r(r+5).

6r-2r-10+r^2+5r=0; r^2+9r-10=0=(r+10)(r-1), so r=-10 or 1.

CHECK: r=-10: 6/(-5)+2/10=-6/5+1/5=-1 OK; r=1: 6/6-2=1-2=-1 OK.
by Top Rated User (1.2m points)

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