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If α, β are the roots of the equation x2 + kx + 12 = 0 such that α − β = 1, the value of k is
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- 0
- ± 5
- ± 1
- ± 7
Correct Option: D
As per the given above question , we know that
Let, α, β be the roots of the equation x2 + kx + 12 = 0
∴ α + β = −k and αβ = 12
Now ( α - β )2 = ( α + β )2 - 4αβ
( 1 )2 = k2 - 4(12)
⇒ k2 = 49 ⇒ k = ± 7.
