X2+y+2*2=49

Solution for X2+y+2*2=49 equation:

X2+X+2*2=49

We move all terms to the left:

X2+X+2*2-(49)=0

determiningTheFunctionDomain
X2+X-49+2*2=0

We add all the numbers together, and all the variables

X^2+X-45=0

a = 1; b = 1; c = -45;
Δ = b2-4ac
Δ = 12-4·1·(-45)
Δ = 181
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{181}}{2*1}=\frac{-1-\sqrt{181}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{181}}{2*1}=\frac{-1+\sqrt{181}}{2}
$