Question

3m,m²-1,m²+1





this is math question please help me​

Answer 1

ᎯᏁᏕᏯᎬᏒ = 7

\large{ \underline{ \underline{ \text{ \gray{✤Given}}}}}

\sf{ {m}^{2} - 3m - 1 = 0}

\sf{ = > {m}^{2} - 1 = 3m}

\sf{ = > m - \frac{1}{m} = 3} \: \: \mathcal{ \blue{ \boxed{Dividing \: both \: sides \: by \: m}}}

\large{ \text{ \red{Now;}}}

\sf{ {m}^{2} + \frac{1}{m {}^{2} } }

\sf{ = (m) {}^{2} - ( \frac{1}{m} ) {}^{2} }

\sf{ = (m - \frac{1}{m} ) {}^{2} - 2 \times m \times \frac{1}{m} }

\sf{ = (3) {}^{2} - 2}

\sf{ \orange{ \boxed{ = 7}}}

\underline{\green{ \mathcal{Ꮋence \: m + \frac{1}{m} = 7}}}

Important Formulas :

\large{ \bold{ \sf{1.{a}^{2} + b {}^{2} }} = (a + b) {}^{2} - 2ab}

\large{ \bold{ \sf{2.a {}^{2} + b {}^{2} }} = (a - b) {}^{2} + 2ab}