Ry122 said:so is it just x+iy=2-2i ?
The general method for solving equations with complex numbers is to isolate the real and imaginary parts of the equation and solve for each separately. Then, combine the solutions to get the complex number solution.
To solve equations with complex numbers using the quadratic formula, first rewrite the equation in the form ax^2 + bx + c = 0. Then, use the formula x = (-b ± √(b^2 - 4ac)) / 2a to find the two solutions for x. These solutions will be complex numbers in the form a + bi, where a and b are real numbers.
Yes, the equation can have multiple solutions for x and y. This is because complex numbers have both a real and imaginary component, so there can be multiple combinations of real and imaginary numbers that satisfy the equation.
Solving equations with complex numbers allows us to find solutions to mathematical problems that involve imaginary numbers. These solutions can have real-world applications in fields such as engineering, physics, and chemistry.
To check the solutions to an equation with complex numbers, substitute the values for x and y back into the original equation and simplify. If the resulting equation is true, then the solutions are correct. If the resulting equation is false, then the solutions are incorrect.