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Obtain fifth roots of 4 3i?
To find the fifth roots of 4 + 3i, first convert the number to polar form: 4 + 3i = 5∠36.87°. Then, to find the fifth roots, divide the angle by 5: 36.87° / 5 = 7.374°. The fifth roots in polar form are 5∠7.374°, 5∠67.374°, 5∠127.374°, 5∠187.374°, and 5∠247.374°.
How does the sign of a determine the number of real fourth roots of a and the number of real fifth roots of a?
If "a" is positive, it will have two fourth roots, one will be positive and one will be negative it will have one fifth root, which will be positive. If "a" is negative, it will have one fourth root, which will be negative. it will have one fifth root, which will be negative.
How many real roots can a fourth degree polynomial have?
Upto 4. If the coefficients are all real, then it can have only 0, 2 or 4 real roots.
Are there any real roots in negative sixty?
What does this question mean? -60 has a real cube root, a real fifth root. In fact a real nth root for all odd n.
What are all the real fourth roots of 256?
The 4th root of 256 is 4
How many fourth roots will a positive real number have?
In general, the answer is 4, but only 2 of them are real. For example, the 4th roots of 16 are 2, -2, 2i, and -2i.
How many cubed roots are there in number 27?
There are 3 cube roots of 27. There are 2 square roots of 27 ( or any real number ). There are 4 fourth roots of 27 and so on:)
What is the discriminant of x2 3x 4?
The discriminant of x2+3x+4 is -7 therfore it has no real roots.
If the roots are real then which type of vibrations will occur in damped systems?
real roots= Overdamped equal roots= critically damped complex roots /imaginary roots = Underdamped
What is the difference between real solutions and real roots when dealing with discriminant?
There is no difference between real solutions and real roots.
How many x-intercepts does a quartic polynomial function having 4 distinct real roots have?
Each distinct real root is an x-intercept. So the answer is 4.
How can a rational equation have more than one solution?
A rational equation can be multiplied by the least common multiple of its denominators to make it into a polynomial equation. The degree of this polynomial is the highest power (of the variable) that appears in it. It can be proven that a polynomial of degree n must have n roots in the complex domain. However, there may be fewer roots in the real domain. This is because if the coefficients are real then there may be pairs of complex roots [conjugates] which will not count as real roots. Also, there may be identical roots of multiple order. For example, x4 - 1 = 0 has 4 complex roots. These are 1, -1, i and -i where i is the imaginary root of -1. There are only 2 real roots -1 and +1. x4 = 0 has 4 multiple roots, each of which is 0. Thus x = 0 is a root of multiplicity 4.
