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brunotolentin.4
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Is correct to afirm that a solution of a quadratic equation or is a complex number or is a split complex number?
I think you mean if there are two distinct roots they must either both be real or be complex conjugates.HallsofIvy said:If there are two distinct roots they must be complex conjugates.
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit equal to the square root of -1. The real part of the complex number is a, and the imaginary part is bi.
A split complex number is a number that can be expressed in the form a + bj, where a and b are real numbers, and j is the split imaginary unit equal to the square root of 1. The main difference between a complex number and a split complex number is that the imaginary unit in a split complex number is positive, while the imaginary unit in a complex number is negative.
Complex numbers and split complex numbers are used in various fields of science, such as engineering, physics, and mathematics, to represent quantities that have both real and imaginary components. They are particularly useful in modeling and solving problems involving oscillations, waves, and electrical circuits.
The conjugate of a complex number a + bi is a - bi, where the sign of the imaginary part is changed. The conjugate of a split complex number a + bj is a - bj, where the sign of the split imaginary part is changed. Conjugates are particularly useful in simplifying complex number operations and in finding the modulus of a complex number.
Yes, complex numbers and split complex numbers can be graphed on a coordinate plane. The real part of the complex number is graphed on the x-axis, while the imaginary part is graphed on the y-axis. For split complex numbers, the split imaginary part is graphed on the y-axis. These graphs are known as the Argand diagram and the split-complex plane, respectively.