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## Homework Statement

Let L: V →V be a linear mapping such that L^2+2L+I=0, show that L is invertible (I is the identity mapping)

I have no idea how to solve this problem or how to start,I mean this problem is different from the ones I solved before, the answer is "The inverse of L is -L-2 "

If someone please can explain to me how to solve this ,would be great . Thanks in advance .