- #1

tigertan

- 25

- 0

## Homework Statement

5x

^{2}-50x+125 (equation 1)

Solutions are x=5 and x=8

(x-5)(x-8)

= x

^{2}-13x+40 (equation 2)

What is the base of the number system??

## Homework Equations

## The Attempt at a Solution

Compare coefficients

1

_{a}=5

_{b}

-13

_{a}=-50

_{b}

40

_{a}=125

_{b}

The base must be greater than 8 since 8 is the highest solution..

Descriminant of (1) is zero. Only one solution

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