Question

factorize L^2+L+1/4​

Answer 1

Answer:

L^2+L+(1/2)^2

(L+1/2). (L+1/2)

Answer 2

Step-by-step explanation:

we can remove the fraction by multiplying the whole equation by 4

so we get

4L²+4L+1=0

4L²+2L+2L+1=0

2L(2L+1)+1(2L+1)=0

(2L+1)(2L+1)=0

(2L+1)²=0

so the roots/solution of this equation is L=-1/2,-1/2

(as we get this by equating 2L+1=0)

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cheers:)