(x2)+y=54

Solution for (x2)+y=54 equation:

(X2)+X=54

We move all terms to the left:

(X2)+X-(54)=0

We add all the numbers together, and all the variables

X^2+X-54=0

a = 1; b = 1; c = -54;
Δ = b2-4ac
Δ = 12-4·1·(-54)
Δ = 217
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{217}}{2*1}=\frac{-1-\sqrt{217}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{217}}{2*1}=\frac{-1+\sqrt{217}}{2}
$