Question

Write a quotient 10/1+2i in the form a+bi I need help 20 points

Answer 1

Answer:

2 - 4i

Step-by-step explanation:

Given the complex number  10/1+2i, to write this in the form a + bi, we will rationalize the function as shown;

= 10/1+2i * 1-2i/1-2i

= 10(1-2i)/(1+2i)(1-2i)

= 10-20i/(1-2i+2i-4i²)

= 10-20i/1-4(-1)

= 10-10i/1+4

= 10-20i/5

= 10/5 - 20i/5

= 2 - 4i

Hence the expression in the form a + bi is 2 - 4i

Answer 2

The quotient 10/1+2i in the form a+bi is; 2-4i

According to the question;

• The given expression is; 10/1+2i.

To convert the expression to the form; a+bi.

We can do the following;

Multiply both the numerator and denominator by (1-2i); so that we have;

• 10(1-2i)/1 - 4i².

where i² = -1

Therefore, we have;

• (10-20i)/1+4.

• 2 - 4i

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