x^2-5x-250 solve the equation
Answers
Simplifying
x2 + -5x + 250 = 0
Reorder the terms:
250 + -5x + x2 = 0
Solving
250 + -5x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-250' to each side of the equation.
250 + -5x + -250 + x2 = 0 + -250
Reorder the terms:
250 + -250 + -5x + x2 = 0 + -250
Combine like terms: 250 + -250 = 0
0 + -5x + x2 = 0 + -250
-5x + x2 = 0 + -250
Combine like terms: 0 + -250 = -250
-5x + x2 = -250
The x term is -5x. Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.
Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -250 + 6.25
Reorder the terms:
6.25 + -5x + x2 = -250 + 6.25
Combine like terms: -250 + 6.25 = -243.75
6.25 + -5x + x2 = -243.75
Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -243.75
Can't calculate square root of the right side.
The solution to this equation could not be determined.