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sanya55:
relation alpha^2+beta^2+alpha*beta=21/4
polynomial=2x^2+5x+k
answer will be -2
see, in alpha² + beta² + alpha.beta = 21/4, instead of alpha²+beta², write (alpha + beta)² -2.alpha.beta. now, u will get (alpha+beta)² -alpha beta =21/4. now use relation between zeroes and coefficients. so u will get (-5/2)² - k/2 = 21/4 and then solve for k and u will get k as 2.
sorry. its k = 2, i wrongly wrote -2
ok thanks a lot
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btw, hkshukla has already send the pic also
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see this solution could help you
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why??
plsssssss
listen, i have one way. ask the question again n i will send u the pic of it
see the pic dear i get it right this time ....thaks for @brainlyashu nd @prolita
wels hkshukla.
yes. right.
i didn't know that one can change the answer. wow!
yupp u can edit that any time u want !!
thanks frnd. :)
anytime!!! ur welcome!
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hope it helps please mark me brainliest !!
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so k= 2
now we have the relations alpha into beta=1
and alpha + beta = -5/2
by first relation we get alpha=1/beta
substituting in second we get beta + 1/beta = -5/2
by solving , beta²+1=-5beta/2
2beta²+2=-5beta
by solving the quadratic in terms of beta we get, beta = -2 & -1/2
so we have (alpha,beta)=(-1/2,-2) & (-2/-1/2)
hope it helps please mark me brainliest!!!
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