5x^2+11x+17=0

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Solution for 5x^2+11x+17=0 equation:


Simplifying
5x2 + 11x + 17 = 0

Reorder the terms:
17 + 11x + 5x2 = 0

Solving
17 + 11x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
3.4 + 2.2x + x2 = 0

Move the constant term to the right:

Add '-3.4' to each side of the equation.
3.4 + 2.2x + -3.4 + x2 = 0 + -3.4

Reorder the terms:
3.4 + -3.4 + 2.2x + x2 = 0 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + 2.2x + x2 = 0 + -3.4
2.2x + x2 = 0 + -3.4

Combine like terms: 0 + -3.4 = -3.4
2.2x + x2 = -3.4

The x term is 2.2x.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2x + 1.21 + x2 = -3.4 + 1.21

Reorder the terms:
1.21 + 2.2x + x2 = -3.4 + 1.21

Combine like terms: -3.4 + 1.21 = -2.19
1.21 + 2.2x + x2 = -2.19

Factor a perfect square on the left side:
(x + 1.1)(x + 1.1) = -2.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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