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What else can I help you with?
What is the reciprocal of 1 plus 3i?
1/(1+ 3i)
Which number can you square that gives an answer smaller than the number thought of?
3i where i is the square root of negative one.3i x 3i = -9
What is the polynomial roots to 1 5i and -3i?
4
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.
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 reciprocal of 1 plus 3i?
1/(1+ 3i)
Which number can you square that gives an answer smaller than the number thought of?
3i where i is the square root of negative one.3i x 3i = -9
What is 3i to the 5th power?
(3i)5 = 35 x i5 = 243 x i2 x i2 x i = 243 x (-1) x (-1) x i = 243i
Find the sum of negative 2 plus 3i and negative1 minus 2i?
(-2 + 3i) + (-1 - 2i) = -2 + 3i - 1 - 2i = -2 - 1 + 3i - 2i = -3 + i
What is 3 to the power of the square root of -1?
The given term is 3√-1. Since √-1 = i, we can rewrite the term as 3i.
What is the factor of x2 plus 9?
x2 + 9 has no real factors. Its complex factors are (x + 3i) and (x - 3i) where i is the imaginary square root of -1.
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
Plot the number in a complex plane -1-3i?
2
What is squared root 3?
3sqrt(- 1 ) = 3i --------
What is the polynomial roots to 1 5i and -3i?
4
What is 3 Times Square root-1?
3sqrt(- 1 ) = 3i --------
Is the second power of any nonzero number positive?
Not complex numbers (such as 4+3i), the square of these are negative because i is defined as the square root of -1
