The roots α and β of the quadratic equation x2 - 5x + 3(k - 1) = 0 a

1.	The roots α and β of the quadratic equation x2 - 5x + 3(k - 1) = 0 are such that αβ = 1. Find the value k.
Answer» α + β = 5 --- (1) α - β = 1 --- (2) Solving (1) and (2), we get α = 3 and β = 2 Also αβ = 6 Or 3(k - 1) = 6 k - 1 = 2 k = 3

The roots α and β of the quadratic equation x2 - 5x + 3(k - 1) = 0 are such that αβ = 1. Find the value k.

Answer»

α + β = 5 --- (1)

α - β = 1 --- (2)

Solving (1) and (2), we get

α = 3 and β = 2

Also αβ = 6

Or 3(k - 1) = 6

k - 1 = 2

k = 3

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The roots α and β of the quadratic equation x2 - 5x + 3(k - 1) = 0 are such that αβ = 1. Find the value k.

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