Question

What are real irrational solutions?

Answer 1

an irrational number is a real number that cannot be written as a simple fraction

Answer 2

Cannot be written as a simple fraction? I don't get it. :/

Answer 3

for example pi

Answer 4

I have to write a function that has two real irrational solutions! What are they asking?

Answer 5

(x - b)(x + a) = f(x)

where, a and b are irrational numbers

Answer 6

(x - or + b)(x + or - a) = f(x)

Answer 7

a better formula because it doesn't matter what sign you use

Answer 8

a real irrational number is pi you cant express it as a fraction

Answer 9

try to think of another number you cannot express as a fraction

Answer 10

So a and b would be irrational numbers, like decimals? and that will result in a irrational solution?

Answer 11

This is a real rational number:

\[\frac{3}{2} = 1.5\]

you can express it as a fraction!

you cant express pi as a fraction because it goes on forever randomly

3.14159265358979323846...

Answer 12

well not randomly there are patterns but yeah you know what I mean

Answer 13

The thing i gave you was a formula for a function with a and b as solutions

Answer 14

f(x) = (x + 1)(x-1)
f(x) = x^2 - 1
solutions for this function being x = -1, +1

Answer 15

But those are real rational numbers.

Answer 16

Yes I was just demonstrating how the formula works

Answer 17

What am i trying to do? how do i make a function that results in two irrational solutions?

Answer 18

You need to find another irrational number to use in your formula

Answer 19

When they say solutions they mean what values of x make f(x) = 0


(x - or + b)(x + or - a) = f(x)

if I wanted the solution 1, and 2

set, b = 1 and a = 2

(x - or + 1)(x + or - 2)

notice that we want them to be positive numbers so we should use subtraction

(x - 1)(x - 2) = f(x)
here is your function with the solutions 2 and 1

Answer 20

You just need to find two irrational numbers and plug them in the formula I provided

Answer 21

okay, thank you!

Answer 22

I hope you get how I came up with this, it is pretty obvious once you see it, at least if you have factored before