- #1
General_Sax
- 446
- 0
Homework Statement
The solution of the quadratic equation x2 - 11x + 22 = 0 are x = 3 or x = 6. What is the base of the numbers?
Homework Equations
Knowledge of how to convert from a generic base to decimal?
The Attempt at a Solution
I tried to just place r in where I would have a value of s*r1
(x-3)(x-6) = x2 - 11x + 22
x2 - 6x - 3x + [1*r + 8] = x2 - [x( r + 1)] + 2r + 1
r + 8 - 9x = x + 2r - xr + 1
7 - 10x = r(1-x)
r = (7-10x)/(1-x)
when I try to put either of the values of x in I get r as either 10.6 or 11.5
Please help me.