Question
If α and β are the roots of the equation x2+6x+λ=0 and 3α+2β=−20, then λ =
Answer: Option B
:
B
α +β = -6 .....(i)
αβ =λ ......(ii)
and given 3α + 2β = -20 ......(iii)
Solving (i) and (iii), we getβ = 2,α = -8
Substituting these values in (ii), we getλ = -16
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B
α +β = -6 .....(i)
αβ =λ ......(ii)
and given 3α + 2β = -20 ......(iii)
Solving (i) and (iii), we getβ = 2,α = -8
Substituting these values in (ii), we getλ = -16
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