x^2-2sqrt(5)x+5=0

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Solution for x^2-2sqrt(5)x+5=0 equation:


Simplifying
x2 + -2sqrt(5) * x + 5 = 0

Reorder the terms for easier multiplication:
x2 + -2 * 5qrst * x + 5 = 0

Multiply -2 * 5
x2 + -10qrst * x + 5 = 0

Multiply qrst * x
x2 + -10qrstx + 5 = 0

Reorder the terms:
5 + -10qrstx + x2 = 0

Solving
5 + -10qrstx + x2 = 0

Solving for variable 'q'.

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

Add '-5' to each side of the equation.
5 + -10qrstx + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -10qrstx + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -10qrstx + x2 = 0 + -5
-10qrstx + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-10qrstx + x2 = -5

Add '-1x2' to each side of the equation.
-10qrstx + x2 + -1x2 = -5 + -1x2

Combine like terms: x2 + -1x2 = 0
-10qrstx + 0 = -5 + -1x2
-10qrstx = -5 + -1x2

Divide each side by '-10rstx'.
q = 0.5r-1s-1t-1x-1 + 0.1r-1s-1t-1x

Simplifying
q = 0.5r-1s-1t-1x-1 + 0.1r-1s-1t-1x

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