280=x*x+6

Solution for 280=x*x+6 equation:

280=x*x+6

We move all terms to the left:

280-(x*x+6)=0

We get rid of parentheses

-x*x-6+280=0

We add all the numbers together, and all the variables

-x*x+274=0

Wy multiply elements

-1x^2+274=0

a = -1; b = 0; c = +274;
Δ = b2-4ac
Δ = 02-4·(-1)·274
Δ = 1096
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:

$\sqrt{\Delta}=\sqrt{1096}=\sqrt{4*274}=\sqrt{4}*\sqrt{274}=2\sqrt{274}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{274}}{2*-1}=\frac{0-2\sqrt{274}}{-2}
=-\frac{2\sqrt{274}}{-2}
=-\frac{\sqrt{274}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{274}}{2*-1}=\frac{0+2\sqrt{274}}{-2}
=\frac{2\sqrt{274}}{-2}
=\frac{\sqrt{274}}{-1}
$