If one root of the quadratic equation x2-5x+6=0 is 2 then the other root is

Question

If one root of the quadratic equation x²-5x+6=0 is 2 then the other root is

(a) 2

(b) 6

(c) 4

(d) 3

Answer 1

Correct option is (d) 3

Solution:

The general form of complete quadratic equation is ax²+bx+c=0

Where, Sum of the roots, α+β =-b/a

Here, the given equation x²-5x+6=0

So, the value of a=1, b=-5, α=2, β=?

α+β = -b/a

2+ β = 1/(−5)

β =5−2

β =3

So, the other root is 3.