First slide
Theory of equations

If f(x)=ax2+bx+c, where a0,b,cR, then which of the following conditions implies that f(x) has real roots?


(1) If f(1)=0a+b+c=0

So, roots are real.

(2) D=b24ac

If ac<0D>0

So, roots are real.

(3) 4acb2<0b24ac>0

So, roots are real.

(4) This is not the sufficient condition.

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