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)2−b24a2=−ca(x+b2a)2=b24a2−cax+b2a=±√b24a2−cax+b2a=±√b2−4ac4a2x+b2a=±√b2−4ac2ax=−b2a±√b2−4ac2ax=−b±√b2−4ac2a
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