x*x+14=275+14

Solution for x*x+14=275+14 equation:

x*x+14=275+14

We move all terms to the left:

x*x+14-(275+14)=0

We add all the numbers together, and all the variables

x*x+14-289=0

We add all the numbers together, and all the variables

x*x-275=0

Wy multiply elements

x^2-275=0

a = 1; b = 0; c = -275;
Δ = b2-4ac
Δ = 02-4·1·(-275)
Δ = 1100
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:

$\sqrt{\Delta}=\sqrt{1100}=\sqrt{100*11}=\sqrt{100}*\sqrt{11}=10\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{11}}{2*1}=\frac{0-10\sqrt{11}}{2}
=-\frac{10\sqrt{11}}{2}
=-5\sqrt{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{11}}{2*1}=\frac{0+10\sqrt{11}}{2}
=\frac{10\sqrt{11}}{2}
=5\sqrt{11}
$