x^2-bx+1=0forx

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Solution for x^2-bx+1=0forx equation:


Simplifying
x2 + -1bx + 1 = 0forx

Reorder the terms:
1 + -1bx + x2 = 0forx

Anything times zero is zero.
1 + -1bx + x2 = 0forx

Solving
1 + -1bx + x2 = 0

Solving for variable 'b'.

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

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

Reorder the terms:
1 + -1 + -1bx + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1bx + x2 = 0 + -1
-1bx + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1bx + x2 = -1

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

Combine like terms: x2 + -1x2 = 0
-1bx + 0 = -1 + -1x2
-1bx = -1 + -1x2

Divide each side by '-1x'.
b = x-1 + x

Simplifying
b = x-1 + x

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