(x2+4)+(-5*6)=22

Solution for (x2+4)+(-5*6)=22 equation:

(x2+4)+(-5*6)=22

We move all terms to the left:

(x2+4)+(-5*6)-(22)=0

determiningTheFunctionDomain
(x2+4)-22+(-5*6)=0

We add all the numbers together, and all the variables

(+x^2+4)-22+(-30)=0

We add all the numbers together, and all the variables

(+x^2+4)-52=0

We get rid of parentheses

x^2+4-52=0

We add all the numbers together, and all the variables

x^2-48=0

a = 1; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·1·(-48)
Δ = 192
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:

$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{3}}{2*1}=\frac{0-8\sqrt{3}}{2}
=-\frac{8\sqrt{3}}{2}
=-4\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{3}}{2*1}=\frac{0+8\sqrt{3}}{2}
=\frac{8\sqrt{3}}{2}
=4\sqrt{3}
$