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प्रश्न
If the sum of the zeros of the polynomial f(x) = 2x3 − 3kx2 + 4x − 5 is 6, then the value ofk is
विकल्प
2
4
−2
−4
उत्तर
Let `alpha`, `beta` be the zeros of the polynomial `f(x)= 2x^3 - 3kx^2 + 4x - 5` and we are given tha
`alpha + beta + γ = 6`
Then,
`alpha + beta + γ = 6`
`alpha + ß + γ = - (text{coefficient of x})/(text{coefficient of } x^2)`
`= -(-3k)/2 = (3k)/2`
Substituting `alpha + beta + γ = (3k)/2` , we get
`(+ 3k )/2=6`
`+ 3k =12`
`k = 12/(+3)`
`k = + 4`
The value of k is 4 ,
Hence, the correct alternative is `(b)`
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