Question

The roots α and β of the quadratic equation x2

-5x+3(k-1)=0 are such that α-

β=1. Find the value k.​

Answer 1

Step-by-step explanation:

value of K = 3

PLS PLS MARK AS BRAINLIST

Answer 2

Step-by-step explanation:

x2-5x+3(k-1)

given that:

alpha-beta=1-(1)

alpha=1+beta

we know that

alpha+beta=-b/a

putting equation 1 in this formula

1+beta+beta=-(-5)/1

1+2beta=5

2beta=5-1

2beta=4

beta=4/2

beta=2

alpha=1+beta

alpha=1+2

alpha=3

We also know that

alpha*beta=c/a

3*2=3(k-1)/1

6=3(k-1)

6/3=k-1

2=k-1

2+1=k

3=k