find the product of 2 - 4i is
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Katherine S. asked • 02/29/16
Write the product of 2-4i and it's conjugate in the form of a+bi
Where a and b are real numbers
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Michael J. answered • 02/29/16
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The conjugate of the given complex number is 2 + 4i. This conjugate was obtained by using a quadratic formula to solve an arbitrary quadratic equation.
So the product of the given complex number and the conjugate is
(2 - 4i)(2 + 4i) = 4 - 16i2
Knowing that i2=-1,
4 - 16(-1) = 4 + 16
= 20
In the form of a+bi, that will be 20 + 0i.
Answer:
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Step-by-step explanation:
The conjugate of the given complex number is 2 + 4i. This conjugate was obtained by using a quadratic formula to solve an arbitrary quadratic equation.
So the product of the given complex number and the conjugate is
(2 - 4i)(2 + 4i) = 4 - 16i2
Knowing that i2=-1,
4 - 16(-1) = 4 + 16
= 20
In the form of a+bi, that will be 20 + 0i.