4x^2+10x+17=0

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Solution for 4x^2+10x+17=0 equation:


Simplifying
4x2 + 10x + 17 = 0

Reorder the terms:
17 + 10x + 4x2 = 0

Solving
17 + 10x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
4.25 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 2.5x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 2.5x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 2.5x + x2 = 0 + -4.25
2.5x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
2.5x + x2 = -4.25

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -4.25 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -4.25 + 1.5625

Combine like terms: -4.25 + 1.5625 = -2.6875
1.5625 + 2.5x + x2 = -2.6875

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -2.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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