Question

The roots a and ß of the quadratic equation x2 - 5x + 2(k – 1) = 0 are such that a - aß = 1.
Find the value of k.
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Answer 1

Answer:

k =7

Step-by-step explanation:

Given x

2

−5x+3(k−1)=0 α,β are roots is given equation.

α−β=11 __________ (1)

using conditions we have α+β=5

αβ=3(k−1)

now α−β=

α

2

+β

2

−2αβ

=

(α+β)

2

−4αβ

(11)

2

=(α+β)

2

−4αβ

121−25=−12(k−1)⇒

12

96

=1−k

[k=-7]

Hence value of k is -7.

Answer 2

Answer:

-7 answer is the correct answer