11=x*x/2+3

Solution for 11=x*x/2+3 equation:

11=x*x/2+3

We move all terms to the left:

11-(x*x/2+3)=0

We get rid of parentheses

-x*x/2-3+11=0

We multiply all the terms by the denominator


-x*x-3*2+11*2=0

We add all the numbers together, and all the variables

-x*x+16=0

Wy multiply elements

-1x^2+16=0

a = -1; b = 0; c = +16;
Δ = b2-4ac
Δ = 02-4·(-1)·16
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*-1}=\frac{-8}{-2}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*-1}=\frac{8}{-2}
=-4
$