The quadratic formula is:
[tex] \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
To solve the equation using the quadratic formula, we must put it in [tex]ax^2+bx+c[/tex] form.
[tex]3x^2 - 5x + 0 = 0[/tex]
Now plug a, b, and c into the formula and solve:
[tex] \frac{5 \pm \sqrt{25 - 4(3)(0)} }{6} [/tex]
Simplify:
[tex] \frac{5 \pm \sqrt{25-0} }{6} [/tex]
[tex] \frac{5 \pm 5}{6} [/tex]
x = [tex] \frac{10}{6} [/tex] or 0
Reduced, the answer is:
x = 5/3 or 0
