Home Lessons Calculators Worksheets Resources Feedback Algebra Tutors

# Calculator Output

```Simplifying
j2 + -3.5j + 1.5 = 0

Reorder the terms:
1.5 + -3.5j + j2 = 0

Solving
1.5 + -3.5j + j2 = 0

Solving for variable 'j'.

Begin completing the square.

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -3.5j + -1.5 + j2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -3.5j + j2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -3.5j + j2 = 0 + -1.5
-3.5j + j2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-3.5j + j2 = -1.5

The j term is -3.5j.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5j + 3.0625 + j2 = -1.5 + 3.0625

Reorder the terms:
3.0625 + -3.5j + j2 = -1.5 + 3.0625

Combine like terms: -1.5 + 3.0625 = 1.5625
3.0625 + -3.5j + j2 = 1.5625

Factor a perfect square on the left side:
(j + -1.75)(j + -1.75) = 1.5625

Calculate the square root of the right side: 1.25

Break this problem into two subproblems by setting
(j + -1.75) equal to 1.25 and -1.25.

Subproblem 1j + -1.75 = 1.25

Simplifying
j + -1.75 = 1.25

Reorder the terms:
-1.75 + j = 1.25

Solving
-1.75 + j = 1.25

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '1.75' to each side of the equation.
-1.75 + 1.75 + j = 1.25 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + j = 1.25 + 1.75
j = 1.25 + 1.75

Combine like terms: 1.25 + 1.75 = 3
j = 3

Simplifying
j = 3

Subproblem 2j + -1.75 = -1.25

Simplifying
j + -1.75 = -1.25

Reorder the terms:
-1.75 + j = -1.25

Solving
-1.75 + j = -1.25

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '1.75' to each side of the equation.
-1.75 + 1.75 + j = -1.25 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + j = -1.25 + 1.75
j = -1.25 + 1.75

Combine like terms: -1.25 + 1.75 = 0.5
j = 0.5

Simplifying
j = 0.5

SolutionThe solution to the problem is based on the solutions
from the subproblems.
j = {3, 0.5}```
Processing time: 1 ms. 76513335 equations since February 08, 2004.   Disclaimer

# Completing the Square Calculator

 Equation: Variable: a A b B c C d D e E f F g G h H i I j J k K l L m M n N o O p P q Q r R s S t T u U v V w W x X y Y z Z AUTO
Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees.

 Home Lessons Calculators Worksheets Resources Feedback Algebra Tutors © Copyright 2001-2011 info @ algebrahelp.com