roots of equation

**gregorio** · August 20th 2007, 01:53 PM

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

**ThePerfectHacker** · August 20th 2007, 02:08 PM

Originally Posted by gregorio

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

If $a\not = 0$ and let $\Delta = b^2 - 4ac$ .

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

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

If $\Delta < 0$ the roots are $\frac{-b+i\sqrt{-\Delta}}{2a}, \frac{-b-i\sqrt{-\Delta}}{2a}$ . Where $i$ is defined to be so that $i^2 = -1$ .

**CaptainBlack** · August 20th 2007, 08:25 PM

Originally Posted by gregorio

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

You should use the quadratic formula for the roots.

RonL

**topsquark** · August 21st 2007, 06:16 AM

Originally Posted by gregorio

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

Or, if you want some practice, you can solve this using the completing the square method. The final answer is the quadratic formula.

-Dan

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