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Complex numbers can represent real world data, in a way that may be more complicated (or near impossible), if trying to represent with just real numbers. I cannot post links in the answer, but recently the Numberphile channel on YouTube posted a video on Quaternions. Also there used to be a really cool article with an interactive animation, showing what imaginary numbers represent on (picomonster dot com) but it no longer works.
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What equation could generate 5 real and 2 complex number solutions?
x^7 + 15x^6 + 86x^5 + 240x^4 + 359x^3 + 345x^2 + 274x + 120 = 0
What is the quadratic equation of x2 equals -11 using the complex number system?
13
How do you determine the number of solutions of an equation?
the maximum number of solutions to an euation is equal to the highest power expressed in the equation. 2x^2=whatever will have 2 answers
When are these kinds of numbers solutions to quadratic equations?
You need to be more specific. A quadratic equation will have 2 solutions. The 2 solutions can be equal (such as x² + 2x + 1 = 0, solution is -1 and -1). If one of the solutions is a real number, then the other solution will also be a real number. If one of the solutions is a complex number, then the other solution will also be a complex number. [a complex number has a real component and an imaginary component]In the equation: Ax² + Bx + C = 0. The term [B² - 4AC] will determine if the solution is a double-root, or if the answer is real or complex.if B² = 4AC, then a double-root (real).if B² > 4AC, then 2 real rootsif B² < 4AC, then the quadratic formula will produce a square root of a negative number, and the solution will be 2 complex numbers.If B = 0, then the numbers will be either pure imaginary or real, and negatives of each other [ example 2i and -2i are solutions to x² + 4 = 0]Example of 2 real and opposite sign: x² - 4 = 0; 2 and -2 are solutions.
What is the complex number of z 2 - Ii?
The complex number of the equation z = x + iy is x.
