Question

m²+1/m=-p,than show that m²+1/m²=p²-2

Answer 1

Answer:

See the explanation

Step-by-step explanation:

Given

       $\dfrac{m^2+1}{m}=p$

  $\Rightarrow m+\dfrac{1}{m}=p$

• Square both sides

  $\Rightarrow (m+\dfrac{1}{m})^2=p^2$

$\Rightarrow m^2+\dfrac{1}{m^2}+2\times m\times\dfrac{1}{m}=p^2\\\Rightarrow m^2+\dfrac{1}{m^2}+2=p^2\\\Rightarrow m^2+\dfrac{1}{m^2}=p^2-2$

Hence proved