Question

If a, b are roots of the equation 2x 2 – 6x + b = 0 and 2a + 5b = 12, find the value of b.​

Answer 1

Answer:

given

2x 2 – 6x + b = 0

2a + 5b = 12,

let a, b are roots

sum of the roots a+b=-b/a=6/2=3

product of the roots=ab=c/a=b/2

ab=b/2

a=1/2

a+b=3

1/2+b=3

b=3-1/2

b=5/2