Question

the common root of the equation x^2-5x+6 and x^2-10x + 21=0 is​

Answer 1

x2 - 5x + 6

x2 - 2x - 3x + 6

x(x - 2) - 3(x - 2)

x = 2,3

x2 - 10x + 21

x2 - 7x - 3x + 21

x(x - 7) - 3( x - 7)

x = 7,3

So, common root is (3)