x^2-8.5+4=0

Solution for x^2-8.5+4=0 equation:

Simplifying
x2 + -8.5 + 4 = 0

Reorder the terms:
-8.5 + 4 + x2 = 0

Combine like terms: -8.5 + 4 = -4.5
-4.5 + x2 = 0

Solving
-4.5 + x2 = 0

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x2 = 0 + 4.5
x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}