if i am asked roots of equation for ax^2+bx+c=0 which formula is this, it may seem easy but i not sure what asking

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- Aug 20th 2007, 01:53 PMgregorioroots of equation
if i am asked roots of equation for ax^2+bx+c=0 which formula is this, it may seem easy but i not sure what asking

- Aug 20th 2007, 02:08 PMThePerfectHacker
If $\displaystyle a\not = 0$ and let $\displaystyle \Delta = b^2 - 4ac$.

If $\displaystyle \Delta >0$ the roots are $\displaystyle \frac{-b+\sqrt{\Delta}}{2a},\frac{-b-\sqrt{\Delta}}{2a}$

If $\displaystyle \Delta = 0$ there is just one root $\displaystyle -\frac{b}{2a}$

If $\displaystyle \Delta < 0$ the roots are $\displaystyle \frac{-b+i\sqrt{-\Delta}}{2a}, \frac{-b-i\sqrt{-\Delta}}{2a}$. Where $\displaystyle i$ is defined to be so that $\displaystyle i^2 = -1$. - Aug 20th 2007, 08:25 PMCaptainBlack
You should use the quadratic formula for the roots.

RonL - Aug 21st 2007, 06:16 AMtopsquark