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Mathematical inequality with parameters
If the inequality ax 2-bx+c >; The solution set for 0 is {x | 0.

Finding CX 2-BX+A > solution set of inequality 0

Solution: From the known A

Divide both sides of inequality CX * 2-BX+A > 0 by a,

Yes: (c/a) x 2-b/ax+ 1

It is known that the two roots of the equation AX 2-BX+C = 0 are E and R.

b/a=e+r

c/a=e*r

Substitute the above formula (1): erx2-(e+r) x+1< 0.

The two roots of the equation erx 2-(e+r) x+ 1 = 0 are 1/e and1/r.

0 & lte & ltx & ltr,

Solution: 0