(X^2)+26(x)=281

Solution for (X^2)+26(x)=281 equation:

(X^2)+26(X)=281

We move all terms to the left:

(X^2)+26(X)-(281)=0

a = 1; b = 26; c = -281;
Δ = b2-4ac
Δ = 262-4·1·(-281)
Δ = 1800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1800}=\sqrt{900*2}=\sqrt{900}*\sqrt{2}=30\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-30\sqrt{2}}{2*1}=\frac{-26-30\sqrt{2}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+30\sqrt{2}}{2*1}=\frac{-26+30\sqrt{2}}{2}
$