Question

The roots & and ß of the quadratic
u² – Ju +3 QK-1) = 0 are
such that a-b=1. find vele of
equation
K​

Answer 1

Answer:x2-5x+3(k-1)

Given:

alpha-beta=1

alpha=1+beta

alpha+beta=-b/a

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

1+2beta=5

2beta=5-1

2beta=4

beta=2

alpha=1+beta

alpha=1+2

alpha=3

alpha*beta=c/a

3*2=3(k-1)

6=3(k-1)

6/3=k-1

2=k-1

2+1=k

3=k

Step-by-step explanation: