whats the name of this equation? x equals negative b plus or minus the square root of b squared minus 4ac all over two a.

Question

anonymous · Answer

the general quadratic equation

anonymous · Answer

thanks i couldnt remember

kinggeorge · Answer

I would call it the quadratic formula. 

The general quadratic equation is generally written $ax^2+bx+c$

anonymous · Answer

call it what you want, they're the same equation :P

$$ax^2 + bx + c = 0$$$$a(x+ \frac{b}{2a})^2 +c -\frac{b^2}{4a} = 0$$
$$a(x+ \frac{b}{2a})^2  = \frac{b^2}{4a} -c$$
$$(x+ \frac{b}{2a})^2  = \frac{b^2 -4ac}{4a^2}$$
$$x+ \frac{b}{2a}  = \pm \sqrt{\frac{b^2 -4ac}{4a^2}}$$
$$x+ \frac{b}{2a}  = \frac{ \pm \sqrt{b^2 -4ac}}{2a}$$
$$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$$

kinggeorge · Answer

As long as the quadratic equation $ax^2+bx+c$ equals 0. In general, that's not true. However, any quadratic equation can be made to equal 0 with ease.

anonymous · Answer

i don't really see the distinction.. but it doesnt really matter :D names are just names after all