Question

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

Answer 1

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.