X^2+2x=181.25

Solution for X^2+2x=181.25 equation:

X^2+2X=181.25

We move all terms to the left:

X^2+2X-(181.25)=0

We add all the numbers together, and all the variables

X^2+2X-181.25=0

a = 1; b = 2; c = -181.25;
Δ = b2-4ac
Δ = 22-4·1·(-181.25)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-27}{2*1}=\frac{-29}{2}
=-14+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+27}{2*1}=\frac{25}{2}
=12+1/2
$