C=26x+-1x2

Solution for C=26x+-1x2 equation:

=26C+-1C^2

We move all terms to the left:

-(26C+-1C^2)=0

We use the square of the difference formula

-(26C-1C^2)=0

We get rid of parentheses

1C^2-26C=0

We add all the numbers together, and all the variables

C^2-26C=0

a = 1; b = -26; c = 0;
Δ = b2-4ac
Δ = -262-4·1·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-26}{2*1}=\frac{0}{2}
=0
$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+26}{2*1}=\frac{52}{2}
=26
$