2(x2)+8Y=121.5

Solution for 2(x2)+8Y=121.5 equation:

2(x2)+8=121.5

We move all terms to the left:

2(x2)+8-(121.5)=0

We add all the numbers together, and all the variables

2x^2-113.5=0

a = 2; b = 0; c = -113.5;
Δ = b2-4ac
Δ = 02-4·2·(-113.5)
Δ = 908
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:

$\sqrt{\Delta}=\sqrt{908}=\sqrt{4*227}=\sqrt{4}*\sqrt{227}=2\sqrt{227}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{227}}{2*2}=\frac{0-2\sqrt{227}}{4}
=-\frac{2\sqrt{227}}{4}
=-\frac{\sqrt{227}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{227}}{2*2}=\frac{0+2\sqrt{227}}{4}
=\frac{2\sqrt{227}}{4}
=\frac{\sqrt{227}}{2}
$