Question

can anybody solve this prblm.....

Answer 1

just put all the values in lhs

Answer 2

here,
$\alpha + \beta = - 1 + \sqrt{ - 3} \div 2 + ( - 1) - \sqrt{ - 3} \div 2$
$\alpha + \beta = - 2 \div 2$
$\alpha + \beta = - 1$
now,
$\alpha \times \beta = ( - 1 + \sqrt{ - 3} \div 2 \times ( - 1 - \sqrt{ - 3} ) \div 2$
$\alpha \times \beta = - 1 \div 2$
take this equation 1
since we know that ,
$\alpha {}^{2} + \beta ^{2} = ( \alpha + \beta ) ^{2} - 2 \times \alpha \beta$
take this equation 2
now put all the values and solve it you will get tha ans