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Obtain fifth roots of 4+3i Obtain fifth roots of 4+3i

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What is the polynomial roots to 1 5i and -3i?

4


Find the fourth complex roots of w equals 81 and plot them?

if the question is w^4 = 81 {w raised to the power of 4},Then the four roots are w = {3, -3, 3i, -3i}.The plots on the real-imaginary plane would be the points:(3,0)(-3,0)(0,3)(0,-3)


Find the multiplicative inverse of 4-3i?

7


What is the complex conjugate 3i plus 4?

The complex conjugate of a complex number is obtained by changing the sign of its imaginary part. For the complex number ( 3i + 4 ), which can be expressed as ( 4 + 3i ), the complex conjugate is ( 4 - 3i ).


What is the multiplicative inverse of 4 plus 3i?

Use the rules of division for complex numbers. Just divide 1 / (4 + 3i). This requires multiplying numerator and denominator of this fraction by (4 - 3i), to get a real number in the denominator.


What is the complex conjugate of 3i?

0+3i has a complex conjugate of 0-3i thus when you multiply them together (0+3i)(0-3i)= 0-9i2 i2= -1 0--9 = 0+9 =9 conjugates are used to eliminate the imaginary parts


Which polynomial has rational coefficients a leading leading coefficient of 1 and the zeros at 2-3i and 4?

There cannot be such a polynomial. If a polynomial has rational coefficients, then any complex roots must come in conjugate pairs. In this case the conjugate for 2-3i is not a root. Consequently, either (a) the function is not a polynomial, or (b) it does not have rational coefficients, or (c) 2 - 3i is not a root (nor any other complex number), or (d) there are other roots that have not been mentioned. In the last case, the polynomial could have any number of additional (unlisted) roots and is therefore indeterminate.


Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2 -4 and 1 plus 3i?

To write a polynomial function with real coefficients given the zeros 2, -4, and (1 + 3i), we must also include the conjugate of the complex zero, which is (1 - 3i). The polynomial can be expressed as (f(x) = (x - 2)(x + 4)(x - (1 + 3i))(x - (1 - 3i))). Simplifying the complex roots, we have ((x - (1 + 3i))(x - (1 - 3i)) = (x - 1)^2 + 9). Thus, the polynomial in standard form is: [ f(x) = (x - 2)(x + 4)((x - 1)^2 + 9). ] Expanding this gives the polynomial (f(x) = (x - 2)(x + 4)(x^2 - 2x + 10)), which can be further simplified to the standard form.


What is the answer to (7-3i plus 4 plus 8i)?

To simplify the expression ( (7 - 3i) + (4 + 8i) ), combine the real parts and the imaginary parts separately. The real parts are ( 7 + 4 = 11 ), and the imaginary parts are ( -3i + 8i = 5i ). Therefore, the answer is ( 11 + 5i ).


What are the real fifth roots of -4?

There's only one: -1.31951 (rounded)The other four are complex.


How do you do the math problem (4-3i)(5 2i)?

To multiply complex numbers you can use the same FOIL rule that you use for multiplying binomials (First, Inside, Outside, Last).(4 - 3i)(5 + 2i) = (4)(5) +(4)(2i) - (3i)(5) - (3i)(2i) = 20 + 8i-15i - 6(i)^2= 20 -7i - 6(-1) = 20 + 6 -7i = 26 -7i.


How do you solve complex fraction?

this is a very good question. lets solve (2+3i)/(4-2i). we want to make 4-2i real by multiplying it by the conjugate, or 4+2i (4-2i)(4+2i)=16-8i+8i+4=20, now we have (2+3i)/20 0r 1/10 + 3i/20 notice that -2i times 2i = -4i^2 =-4 times -1 = 4