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## Homework Statement

Without solving the equation 3x^2-8x-3=0 show it has 2 different rational roots.[/B]

## Homework Equations

ax^2+bx+c=0

## The Attempt at a Solution

I would appreciate if someone would check my work, and advise if I have done the right or wrong thing? Thank you, Jaco

[/B]

3x^2-8x-3=0

a=3 b=-8 c=-3

a*b=-9+1=-8

3x^2-9x+1x-3=0

3x(x-3)+1(x-3)

3x+1=0

x=1/3

x-3=0

x=3

so x=1/3 and x=3