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Sunday, 9 October 2016

Quadratic Equations General Solution Prooff

Quadratic Equations

General form

ax2+bx+c=0.....(1)

Find general solution


Divide both sides by a x2+bax+ca=0x2+bax=ca.....(2)
Now (x+b2a)2=x2+bax+(b24a2)
Rewrite (2) (x+b2a)2b24a2=ca(x+b2a)2=b24a2cax+b2a=±b24a2cax+b2a=±b24ac4a2x+b2a=±b24ac2ax=b2a±b24ac2ax=b±b24ac2a

So the general solution is x=b±b24ac2a

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