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mr_godi [17]
3 years ago
13

Find a complex number a+ ????????????????, with aand ???????? positive real numbers, such that (a+ ????????????????)3 = i.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

The complex number is 0+i/3.

Step-by-step explanation:

Let the imaginary part be x.

The complex number will be a+xi

Given:

real part =a

(a+xi)*3=i...............(i)

To find:

imaginary part

Solution:

3a + 3xi=i.............(ii)

Comparing real and imaginary parts of eq(ii).

3a=0  and 3x=1

a=0

x=1/3.

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The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)

<h3>Factorization</h3>

Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number.

In the given expression, 36x⁴y³ - 16x³y can be factorized as

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The common factor in the expression is 4x³y

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Showing that x1x2 = c/a goes similar way.
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