F (x) = ax ^ 2 + BX + C, (a > 0), two X1 and x2,0 of the equation f (x) - x = 0 | Math enthusiast | Mathematical art

F (x) = ax ^ 2 + BX + C, (a > 0), two X1 and x2,0 of the equation f (x) - x = 0

1) Prove: Let f (x) = f (x) - x,
∵ x1, X2 are the roots of F (x) - x = 0,
∴ F(x)=a(x－x1)(x－x2)．
When x ∈ (0, x1), because x 10,
If a > 0, then f (x) = a (x-x1) (x-x2) > 0

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