Question

if m+1/m=-p , then m²+1/m²=?​

Answer 1

Answer:

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Step-by-step explanation:

m+1/m = -p

squaring on both sides

(m+1/m)^2=(-p)^2

m^2+1/m^2+2(m)(1/m)=p

m^2+1/m^2+2=p

m^2+1/m2=p-2

Answer 2

$leftside \\ {m}^{2} + \frac{1}{m {}^{2} } \\ = (m + \frac{1}{m {}^{2} } ) {}^{2} - 2 \times m \times \frac{1}{2m } \\ = ( - p ) {}^{2} - 2 \\ = {p}^{2} - 2 \: \: \: (right \: side \: prooved)$