Find the value of the greater root of x2 - 6x + 5 = 0.

To factor a quadratic of the form ax^2+bx+c, two values, j and k, must satisfy two conditions ...

jk=ac=5 and j+k=b=-6, so j and k must be - 1 and - 5 so the factors are:

(x-1) (x-5) = 0

x=1 and 5

The greater of which is 5.