Question

find the value of k for which the difference between the roots of the equation X square + kx + 8 is equal to zero is 2

Answer 1

Answer:

Step-by-step explanation:

Solve further after attachment

Answer 2

Answer: k = -6

Step-by-step explanation:

Let the roots be α and β.

α - β = 2 = m (Let)

Coefficient of x² is 1 and that of x⁰ is 8.

∴ αβ = 8 / 1 = 8 = n (Let)

∴ α + β = √(m² + 4n)

α + β = √(2² + 4 × 8)

α + β = √(4 + 32)

α + β = √36

α + β = 6

Here,

k = -a(α + β)

k = -1 × 6

k = -6

∴ -6 is the answer.

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