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Mathematics 15 Online
Comerpickles:

Is anyone here good at Math?

Comerpickles:

12th

Comerpickles:

Okie dokie http://prntscr.com/kzvned

Cupcake123456:

Let's try x2 - 25 first. x2 - 25 = x2 - 52 = (x - 5)(x + 5) I know this because if you multiply (x - 5) by (x + 5) and simplify you get x2 - 25. This means that for any number x, x2 - 25 = (x - 5)(x + 5). For example if x = 12 then 122 - 52 = 144 - 25 = 119 = (12 - 5)(12 + 5) = 7 × 17. Now what about x2 + 25? If x = 2 for example then x2 + 25 = 4 + 25 = 29 which is a prime number. Thus the only factors of 29 are 29 and 1 and hence the only factorization of 29 is 29 × 1. Similarly if x = 4 then x2 + 25 = 41 which is again prime. Hence the only factorization of x2 + 25 which is valid for every number x is x2 + 25 = (x2 + 25) × 1

Cupcake123456:

@Shadow am i on track or ^^

Comerpickles:

Which part is the exponents?

Cupcake123456:

ima wait till shadow come view this to verify that im on track okay 1sec

Comerpickles:

Okie dokie

KittyGirl:

@Shadow they need ya help

Comerpickles:

Thanks @KittyGirl

Cupcake123456:

once he verify what i already put and says im on track ill continue

KittyGirl:

np

Comerpickles:

Okie dokie

Comerpickles:

I want to say you're right, and I think you are

Cupcake123456:

ik but i wanna make sure and he will be here he is on another question rn

Comerpickles:

Very well :D

Cupcake123456:

wait u already answered it ?

Comerpickles:

I have it in, but I didn't submit it yet

Cupcake123456:

@Shadow ??!

Comerpickles:

XD

Comerpickles:

@Vocaloid

Cupcake123456:

@Vocaloid i need u to verify that my explanation is correct ?

mhchen:

Since it's a complex number. I think you should include 'i'. \[x^2+25 = x^2-25i^2 = (x-5i)(x+5i)\]

Cupcake123456:

im not gonna trust that ill wait...

Comerpickles:

"I don't know what to believe anymore!!" XD

Cupcake123456:

tag shadow !

Comerpickles:

@Shadow

Cupcake123456:

i dont think he/she is correct

Comerpickles:

And he's gone

Cupcake123456:

@SmokeyBrown Am i correct n the explanation i gave ?^^^^

SmokeyBrown:

So what Cupcake said is correct, but that wouldn't be the answer to the question. We are being asked to factor using complex numbers. In other words, combinations of "real numbers" and "imaginary numbers", i. I think mhchen has the right idea. Keep in mind that i^2 = -1, and it should make sense.

Comerpickles:

So what does her answer lead to? As in the answer?

SmokeyBrown:

Oh, the answer would be (x+5i) * (x-5i) When you multiply those complex numbers together, you'd get x^2 + 25 as the result.

Comerpickles:

Thanks bro

SmokeyBrown:

No prob bro

Cupcake123456:

ahh i knew it lol i just needed to know was i on track

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