Respuesta :
If you meant 2x + 2x + 1 = 17: x = 4
Solve for x by simplifying both sides of the equation, then isolating the variable.
If you meant x2 + 2x + 1 = 17: x ≈ 3.1231056,−5.1231056x
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. x = −1 ± √17x
Solve for x by simplifying both sides of the equation, then isolating the variable.
If you meant x2 + 2x + 1 = 17: x ≈ 3.1231056,−5.1231056x
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. x = −1 ± √17x
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}
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}
