If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (9 + 5j)(7 + j) = 1 Multiply (9 + 5j) * (7 + j) (9(7 + j) + 5j * (7 + j)) = 1 ((7 * 9 + j * 9) + 5j * (7 + j)) = 1 ((63 + 9j) + 5j * (7 + j)) = 1 (63 + 9j + (7 * 5j + j * 5j)) = 1 (63 + 9j + (35j + 5j2)) = 1 Combine like terms: 9j + 35j = 44j (63 + 44j + 5j2) = 1 Solving 63 + 44j + 5j2 = 1 Solving for variable 'j'. Reorder the terms: 63 + -1 + 44j + 5j2 = 1 + -1 Combine like terms: 63 + -1 = 62 62 + 44j + 5j2 = 1 + -1 Combine like terms: 1 + -1 = 0 62 + 44j + 5j2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.4 + 8.8j + j2 = 0 Move the constant term to the right: Add '-12.4' to each side of the equation. 12.4 + 8.8j + -12.4 + j2 = 0 + -12.4 Reorder the terms: 12.4 + -12.4 + 8.8j + j2 = 0 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 8.8j + j2 = 0 + -12.4 8.8j + j2 = 0 + -12.4 Combine like terms: 0 + -12.4 = -12.4 8.8j + j2 = -12.4 The j term is 8.8j. Take half its coefficient (4.4). Square it (19.36) and add it to both sides. Add '19.36' to each side of the equation. 8.8j + 19.36 + j2 = -12.4 + 19.36 Reorder the terms: 19.36 + 8.8j + j2 = -12.4 + 19.36 Combine like terms: -12.4 + 19.36 = 6.96 19.36 + 8.8j + j2 = 6.96 Factor a perfect square on the left side: (j + 4.4)(j + 4.4) = 6.96 Calculate the square root of the right side: 2.638181192 Break this problem into two subproblems by setting (j + 4.4) equal to 2.638181192 and -2.638181192.Subproblem 1
j + 4.4 = 2.638181192 Simplifying j + 4.4 = 2.638181192 Reorder the terms: 4.4 + j = 2.638181192 Solving 4.4 + j = 2.638181192 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.4' to each side of the equation. 4.4 + -4.4 + j = 2.638181192 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + j = 2.638181192 + -4.4 j = 2.638181192 + -4.4 Combine like terms: 2.638181192 + -4.4 = -1.761818808 j = -1.761818808 Simplifying j = -1.761818808Subproblem 2
j + 4.4 = -2.638181192 Simplifying j + 4.4 = -2.638181192 Reorder the terms: 4.4 + j = -2.638181192 Solving 4.4 + j = -2.638181192 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.4' to each side of the equation. 4.4 + -4.4 + j = -2.638181192 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + j = -2.638181192 + -4.4 j = -2.638181192 + -4.4 Combine like terms: -2.638181192 + -4.4 = -7.038181192 j = -7.038181192 Simplifying j = -7.038181192Solution
The solution to the problem is based on the solutions from the subproblems. j = {-1.761818808, -7.038181192}
| (5+8j)*(5+j)=1 | | 4r+9=37 | | 41+27j+3j^2=0 | | (6+3j)*(7+j)=1 | | 0=-2x-16 | | -8x+4y=-20 | | (6+3j)(7+j)=1 | | y=-2(-8)-16 | | 240=f/15 | | 5p-4=6 | | -3k=(-18) | | 3=t/-42 | | 4(x-2)=18 | | 2x^2-4x+42=0 | | 8d+12=52 | | F(x)=5(3)+2 | | x+6=x+16 | | 2700=(-900)w | | 2j(3-9j)= | | 2(n+5)=22n | | F(3)=5x+2 | | 6y-5=19 | | 19+11=-3(8x-10) | | 4j(4-7j)=1 | | 9x+x^2=52 | | F(x)=5x+2 | | 19+11=3(8x-10) | | y=-3(-3)-17 | | 3x-1+90+31=180 | | 4j(4-7j)= | | 4(z-4)=5z-4 | | 3x^2-2=-54 |