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In $3-17,$ find each sum or difference of the complex numbers in $a+b i$ form.$$\left(\frac{1}{4}+12 i\right)+\left(7+\frac{i}{10}\right)$$

$\frac{29}{4}+\frac{121}{10} i$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 5

Operations with Complex Numbers

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

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in this problem, we're asked to combine the complex number 1/4 plus Trovato to the complex number seven plus over. Jen. Now for this problem, it's a couple of different ways we can work with fractions or me may choose to work decimals. Um, so let's choose to work with decimals. So 1/4 is zero point to five, and then we have the plus 12 I and then we have, Of course, we had the plus seven. And now over here, we have an eye over chin. And that is the same thing as zero 0.1, because 1/10 is 0.1. Now we may add our correspondent components as usual. We have 0.25 and we have seven. You got the plus, son. So 0.25 plus seven is going to give us 0.2 five for our real component. And then we have positive 12 plus 0.1 eye. And when we combine these, we're gonna get 12.1 I, which we will then have the final answer of 7.25 plus one

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