if alpha and beta are the roots of 2x²-7x+5=0 then find the values of alpha /beta + beta /alpha
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Answer:
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Step-by-step explanation:
alpha + beta = - ( coefficient of x) / coefficient of x2)
alpha * beta = constant / coefficient of x2
alpha + beta = - ( -7) / 2 = 7/2
alpha. beta = 5/2
alpha / beta + beta / alpha
= ( alpha(sqr)+ beta (sqr)/ alpha. beta
= (( alpha + beta) sqr - 2*alpha. beta )/alpha*beta
= ( 49/4 - 5 )/ (5/2)
= (29/5) * ( 2/5)
= 58/25
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