F(X)=25x2-10x+1

Solution for F(X)=25x2-10x+1 equation:

(F)=25F^2-10F+1

We move all terms to the left:

(F)-(25F^2-10F+1)=0

We get rid of parentheses

-25F^2+F+10F-1=0

We add all the numbers together, and all the variables

-25F^2+11F-1=0

a = -25; b = 11; c = -1;
Δ = b2-4ac
Δ = 112-4·(-25)·(-1)
Δ = 21
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{21}}{2*-25}=\frac{-11-\sqrt{21}}{-50}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{21}}{2*-25}=\frac{-11+\sqrt{21}}{-50}
$