2x^2+11x+98=0

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Solution for 2x^2+11x+98=0 equation:


Simplifying
2x2 + 11x + 98 = 0

Reorder the terms:
98 + 11x + 2x2 = 0

Solving
98 + 11x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
49 + 5.5x + x2 = 0

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + 5.5x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + 5.5x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 5.5x + x2 = 0 + -49
5.5x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
5.5x + x2 = -49

The x term is 5.5x.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5x + 7.5625 + x2 = -49 + 7.5625

Reorder the terms:
7.5625 + 5.5x + x2 = -49 + 7.5625

Combine like terms: -49 + 7.5625 = -41.4375
7.5625 + 5.5x + x2 = -41.4375

Factor a perfect square on the left side:
(x + 2.75)(x + 2.75) = -41.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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