If α, β are the roots of the equation x2 + kx + 12 = 0 such that α − β = 1, the value of k is

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.