Answer:
Step-by-step explanation:
2x^2+10x+47 = 0
Simplifying
2x2 + 10x + 47 = 0
Reorder the terms:
47 + 10x + 2x2 = 0
Solving
47 + 10x + 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'.
23.5 + 5x + x2 = 0
Move the constant term to the right:
Add '-23.5' to each side of the equation.
23.5 + 5x + -23.5 + x2 = 0 + -23.5
Reorder the terms:
23.5 + -23.5 + 5x + x2 = 0 + -23.5
Combine like terms: 23.5 + -23.5 = 0
0 + 5x + x2 = 0 + -23.5
5x + x2 = 0 + -23.5
Combine like terms: 0 + -23.5 = -23.5
5x + x2 = -23.5
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 = -23.5 + 6.25
Reorder the terms:
6.25 + 5x + x2 = -23.5 + 6.25
Combine like terms: -23.5 + 6.25 = -17.25
6.25 + 5x + x2 = -17.25
Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -17.25
Can't calculate square root of the right side.
The solution to this equation could not be determined
