x^2-2sqr(2)x-1=0

Solution for x^2-2sqr(2)x-1=0 equation:

Simplifying
x2 + -2sqr(2) * x + -1 = 0

Reorder the terms for easier multiplication:
x2 + -2 * 2qrs * x + -1 = 0

Multiply -2 * 2
x2 + -4qrs * x + -1 = 0

Multiply qrs * x
x2 + -4qrsx + -1 = 0

Reorder the terms:
-1 + -4qrsx + x2 = 0

Solving
-1 + -4qrsx + x2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + -4qrsx + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -4qrsx + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4qrsx + x2 = 0 + 1
-4qrsx + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4qrsx + x2 = 1

Add '-1x2' to each side of the equation.
-4qrsx + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
-4qrsx + 0 = 1 + -1x2
-4qrsx = 1 + -1x2

Divide each side by '-4rsx'.
q = -0.25r-1s-1x-1 + 0.25r-1s-1x

Simplifying
q = -0.25r-1s-1x-1 + 0.25r-1s-1x