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Grace [21]
2 years ago
12

What does the imaginary number i represent

Mathematics
2 answers:
VikaD [51]2 years ago
8 0
I represent the imaginary part like a+bi where a is the real part 

but in the other words i = sqrt(-1) 

hope helped 
soldier1979 [14.2K]2 years ago
8 0

Imaginary numbers always confused me. Like understanding e, most explanations fell into one of two categories:

∴<span>It’s a mathematical abstraction, and the equations work out. Deal with it.
</span>∵<span>It’s used in advanced physics, trust us. Just wait until college.</span>

Gee, what a great way to encourage math in kids! 

                                               x²= 9

The answers are 3 and -3. But suppose some wiseguy puts in a teensy, tiny minus sign:

                                                      i²= -1

Uh oh. This question makes most people cringe the first time they see it. You want the square root of a number less than zero? That’s absurd! (Historically, there were real questions to answer, but I like to imagine a wiseguy.)

It seems crazy, just like negatives, zero, and irrationals (non-repeating numbers) must have seemed crazy at first. There’s no “real” meaning to this question, right?

Wrong. So-called “imaginary numbers” are as normal as every other number (or just as fake): they’re a tool to describe the world. In the same spirit of assuming -1, .3, and 0 “exist”, let’s assume some number i exists where:

That is, you multiply i by itself to get -1. What happens now?

Well, first we get a headache. But playing the “Let’s pretend i exists” game actually makes math easier and more elegant. New relationships emerge that we can describe with ease.

You may not believe in i, just like those fuddy old mathematicians didn’t believe in -1. New, brain-twisting concepts are hard and they don’t make sense immediately, even for Euler. But as the negatives showed us, strange concepts can still be useful.

I dislike the term “imaginary number” — it was considered an insult, a slur, designed to hurt i‘s feelings. The number i is just as normal as other numbers, but the name “imaginary” stuck so we’ll use it.

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amid [387]

Step-by-step explanation:

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count how many units one point is from the other point

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8 0
2 years ago
What are the roots to<br> the equation<br> 2x² + 6x-1=0?
lys-0071 [83]

Answer:

The roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}    

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = \frac{ - b}{a}

And products of roots = \frac{c}{a}

So, m + n = \frac{ - 6}{2} = - 3

And m × n =  \frac{ - 1}{2}

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 (\frac{ - 1}{2})

Or, (m - n)² = 9 + 2 = 11

I.e m - n = \sqrt{11}

Again m + n = - 3    And m - n = \sqrt{11}

Solving this two equation

(m + n) + ( m - n) = - 3 + \sqrt{11}

I.e 2 m =  - 3 + \sqrt{11}

Or, m = \frac{-3}{2} + \frac{\sqrt{11} }{2}

Similarly n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      

Hence the roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      Answer

6 0
3 years ago
a salesperson earns $25 per day plus $2.50 for every sale. He normally earns $100 per day. How many sales does he normally get.
Dahasolnce [82]
He makes about 30 sales because he makes $100 typically but always makes a minimum of $25 making $75 worth of his sales. If you multiply 30 and $2.50 you get $75 in sales. His $25 minimum and $75 in sales make $100. So he makes 30 sales.
3 0
3 years ago
Joshep drove his grandmother’s house which is 252 miles away in 3.5 hours. If he continues at the same speed,approximately how l
Amanda [17]

Answer:

72 hours

Step-by-step explanation:

5 0
2 years ago
What is the coefficient of x^3y^2 in the expansion of (2x+y)^5
Virty [35]
D. 80

If you expand the entirety of the polynomial, you get the following:

32x^5+80x^4y+80x^3y^2+40x^2y^3+10xy^4+y^5


3 0
3 years ago
Read 2 more answers
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