how many solutions does 3i+2i-4=18i
To solve this equation, we simplify the expression on the left side by combining like terms:
3i + 2i - 4 = 18i
(3 + 2)i - 4 = 18i
5i - 4 = 18i
We can now isolate the variable i by subtracting 5i from both sides:
-4 = 18i - 5i
-4 = 13i
Finally, we solve for i by dividing both sides of the equation by 13:
-4/13 = i
Thus, there is exactly one solution for i, which is i = -4/13.
To solve the equation 3i + 2i - 4 = 18i, we can first simplify it by combining like terms:
5i - 4 = 18i
Next, we can isolate the term with the variable by subtracting 5i from both sides:
-4 = 13i
Finally, divide both sides by 13 to solve for i:
-4/13 = i
Therefore, the equation has a single solution, and it is i = -4/13.