Question

The roots αand ß of a quadratic equation &
x²–5x+3(K-1) = 0 are such that α-ß = 1
find the value of k.​

Answer 1

Answer:

K = 3

Step-by-step explanation:

Given that a and b are the solutions( alpha and beta)

x^2 - 5x + 3(k-1) = 0

Therefore, a + b = 5  and a - b = 1 (given)

Adding both the equations we get,

a = 3 and b = 2

Now a x b = 3(k-1)

Therefore, 6 = 3k - 3

Thus, k = 3

HOPE THIS HELPS YOU....