Question

the roots alpha and beta of the quadratic equation xsquare -5x+3(k-1)are such that alpha beta =1find the value of k​

Answer 1

Answer:

k = 4/3

Step-by-step explanation:

x2 - 5x + 3(k-1) is the quadratic equation

Sum of the roots = A + B = - ( co.eff of x)/ (co.eff of x2)

Product of the roots = AB = constant term / (co.eff of x2)

A+B = -(-5)/1       A+B = 5

AB = 3(k-1)

1 = 3k -3

3k = 4

k = 4/3