x^2-3.5x+10=0

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Solution for x^2-3.5x+10=0 equation:


Simplifying
x2 + -3.5x + 10 = 0

Reorder the terms:
10 + -3.5x + x2 = 0

Solving
10 + -3.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3.5x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -3.5x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3.5x + x2 = 0 + -10
-3.5x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3.5x + x2 = -10

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -10 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -10 + 3.0625

Combine like terms: -10 + 3.0625 = -6.9375
3.0625 + -3.5x + x2 = -6.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -6.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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