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What is the reciprocal of 3 plus 5i?

Updated: 4/28/2022
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1/(3+5i)=(3-5i)/((3+5i)(3-5i))=(3-5i)/(9+25)=(3-5i)/34

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Q: What is the reciprocal of 3 plus 5i?
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What is 1 divided by 2 plus 5i in the form a plus bi?

1/(2 + 5i) (multiply both the numerator and the denominator by 2 - 5i)= 1(2 - 5i)/(2 + 5i)(2 - 5i)= (2 - 5i)/(4 - 25i2) (substitute -1 for i2)= (2 - 5i)/(4 + 25)= (2 - 5i)/29= 2/29 - (5/29)i


How do you find the additive inverse of a complex number?

You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).


What is the conjugate of 11 plus 5i?

To find the complex conjugate change the sign of the imaginary part: For 11 + 5i the complex conjugate is 11 - 5i.


The reciprocal of a number plus the reciprocal of twice the number equalsone half Find the number?

The reciprocal of a number plus the reciprocal of twice the number equals Find the number. 1/2 find the number


What does reciprocal mean in mathmatical terms?

Reciprocal of 3 is 1/3 Reciprocal of 35 is 1/35. Reciprocal of x is 1/x. Reciprocal of 1/3 is 3. Reciprocal of 1/x is x. It is the inverse of a number.

Related questions

What is the reciprocal of 2-5i?

Let a + bi be the reciprocal. So (a + bi)(2 - 5i) = 1 (a + bi)(2 - 5i) = 2a - 5ai + 2bi + 5b = (2a + 5b) + (2b - 5a)i Therefore 2a + 5b = 1 and 2b - 5a = 0. Solving the simultaneous equations, we find that a = 2/29 and b = 5/29. So the reciprocal of 2 - 5i is 2/29 + 5i/29.


What is the conjugate of the complex number 9 plus 5i?

9-5i


What is 1 divided by 2 plus 5i in the form a plus bi?

1/(2 + 5i) (multiply both the numerator and the denominator by 2 - 5i)= 1(2 - 5i)/(2 + 5i)(2 - 5i)= (2 - 5i)/(4 - 25i2) (substitute -1 for i2)= (2 - 5i)/(4 + 25)= (2 - 5i)/29= 2/29 - (5/29)i


2 plus 5i plus 6 plus 3i?

I assume that "I" is a variable2+5i+6+3i7i+6+3i10i+616i is the answer


How do you factor x squared plus 25?

(x-5i)(x+5i)


How do you find the additive inverse of a complex number?

You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).You take the additive invers of the real and of the imaginary part. For instance, the additive inverse of: (3 - 5i) is (-3 + 5i).


What is the conjugate of 11 plus 5i?

To find the complex conjugate change the sign of the imaginary part: For 11 + 5i the complex conjugate is 11 - 5i.


Complex conjugate of 5i?

0 + 5i Its complex conjugate is 0 - 5i


What is the complex conjugate of the following complex number 7 plus 5i?

The conjugate is 7-5i


What does 7 plus 5i equal?

127


What are the cube roots of 1000i?

5√3 + 5i, -5√3 + 5i, -10i


The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2 over 3 Find the integer?

It is 2.