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ivolga24 [154]
3 years ago
12

What is the solution to k/k+1 + k/k-2 =2

Mathematics
1 answer:
likoan [24]3 years ago
4 0
k\not=-1 \wedge k\not=2\\\\
\dfrac{k}{k+1}+\dfrac{k}{k-2}=2\\
k(k-2)+k(k+1)=2(k+1)(k-2)\\
k^2-2k+k^2+k=2(k^2-2k+k-2)\\
2k^2-k=2k^2-2k-4\\
k=-4
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