10x-x*x-6/2+x=4

Solution for 10x-x*x-6/2+x=4 equation:

10x-x*x-6/2+x=4

We move all terms to the left:

10x-x*x-6/2+x-(4)=0

determiningTheFunctionDomain
10x-x*x+x-4-6/2=0

We add all the numbers together, and all the variables

11x-x*x-7=0

Wy multiply elements

-1x^2+11x-7=0

a = -1; b = 11; c = -7;
Δ = b2-4ac
Δ = 112-4·(-1)·(-7)
Δ = 93
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{-(11)-\sqrt{93}}{2*-1}=\frac{-11-\sqrt{93}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{93}}{2*-1}=\frac{-11+\sqrt{93}}{-2}
$