What is solution of
X square +2x +11=0
Answers
Step-by-step explanation:
Simplifying
x2 + 2x + 11 = 0
Reorder the terms:
11 + 2x + x2 = 0
Solving
11 + 2x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-11' to each side of the equation.
11 + 2x + -11 + x2 = 0 + -11
Reorder the terms:
11 + -11 + 2x + x2 = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 2x + x2 = 0 + -11
2x + x2 = 0 + -11
Combine like terms: 0 + -11 = -11
2x + x2 = -11
The x term is 2x. Take half its coefficient (1).
Square it (1) and add it to both sides.
Add '1' to each side of the equation.
2x + 1 + x2 = -11 + 1
Reorder the terms:
1 + 2x + x2 = -11 + 1
Combine like terms: -11 + 1 = -10
1 + 2x + x2 = -10
Factor a perfect square on the left side:
(x + 1)(x + 1) = -10
Can't calculate square root of the right side.
The solution to this equation could not be determined.
Answer:
(x+1)(x+1)= -10 ............