Simplifying
x2 + 2x + 1 = 17
Reorder the terms
1 + 2x + x2 = 17
Solving
1 + 2x + x2 = 17
Solving for variable 'x'.
Reorder the terms:
1 + -17 + 2x + x2 = 17 + -17
Combine like terms:
1 + -17 = -16
-16 + 2x + x2 = 17 + -17
C
ombine like terms:
17 + -17 = 0
-16 + 2x + x2 = 0
Begin completing the square.
Move the constant term to the right:
Add '16' to each side of the equation
.
-16 + 2x + 16 + x2 = 0 + 16
Reorder the terms:
-16 + 16 + 2x + x2 = 0 + 16
Combine like terms:
-16 + 16 = 0
0 + 2x + x2 = 0 + 16
2x + x2 = 0 + 16
Combine like terms:
0 + 16 = 16
2x + x2 = 16
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 = 16 + 1
Reorder the terms:
1 + 2x + x2 = 16 + 1
Combine like terms:
16 + 1 = 17
1 + 2x + x2 = 17
Factor a perfect square on the left side:
(x + 1)(x + 1) = 17
Calculate the square root of the right side:
4.123105626
Break this problem into two subproblems by setting
(x + 1) equal to 4.123105626 and -4.123105626.
x + 1 = 4.123105626
Simplifying
x + 1 = 4.123105626
Reorder the terms:
1 + x = 4.123105626
Solving
1 + x = 4.123105626
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + x = 4.123105626 + -1
Combine like terms:
1 + -1 = 0
0 + x = 4.123105626 + -1
x = 4.123105626 + -1
Combine like terms:
4.123105626 + -1 = 3.123105626
x = 3.123105626
Simplifying
x = 3.123105626
x + 1 = -4.123105626
Simplifying
x + 1 = -4.123105626
Reorder the terms:
1 + x = -4.123105626
Solving
1 + x = -4.123105626
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + x = -4.123105626 + -1
Combine like terms:
1 + -1 = 0
0 + x = -4.123105626 + -1
x = -4.123105626 + -1
Combine like terms:
-4.123105626 + -1 = -5.123105626
x = -5.123105626
Simplifying
x = -5.123105626
x = {3.123105626, -5.123105626}
