# Thread: HARD MATH EQUATION DAYUUUUMM

1. Originally Posted by Plutonsvea
So there is an actual answer for x? Tell us.
Yep
Originally Posted by Doc
I'm going to do my best typing this up. I'm bound to fuck up somewhere with the parenthesis but the basic steps should be easy for you to get on your own.

Firs you want to eliminate any square roots on the left that you can. Do this by squaring both sides.

√x+(√x+4)^2 = 4+2x+(2√x)(√x+4) = 4+2 x+2√(x(x+4)) = ((√x+1)+(√x+2))^2

You'll end up with:

4+2x+(2√x(x+4)) = (√(x+1)+√(x+2))^2

Now you want to get rid of that radical on the left (4+2x), do this by subtracting it from both sides:

2√(x(x+4)) = (√(x+1)+√(x+2))^2-4-2x

Now you can get rid of yet another square root, do so by squaring again:

4x(x+4) = ((√(x+1)+√(x+2))^2-4-2 x)^2

Now you can see that you can simplify the left hand side:

4x^2+16x = ((√(x+1)+√(x+2))^2-4-2 x)^2

You can also do the same for the right side.

((√(x+1)+√(x+2))^2-4-2x)^2 = 9+12 x+4 x^2-4√(x+1)√(x+2):

4 x^2+16x = 9+12 x+4x^2-4 √(x+1) √(x+2)

You can also shove √(x+1) and √(x+2) under the same square root:

4x^2+16x = 9+12x+4x^2-4√((x+1)(x+2))

Here's the trickiest part in my opinion. You're gonna hit two birds with one stone by subtracting 4x^2 + 16x - 4√((x+1) (x+2)) from both sides.

So now 4x^2+16x = 9+12x+4x^2-4√((x+1)(x+2))

becomes

4√((x+1)(x+2)) = 9-4x

Oh look now we have another square root. Let's square this shit again:

16(x+1)(x+2) = (9-4x)^2

Simplify that motherfucker on the left:

16x^2+48x+32 = (9-4x)^2

Simplify the motherfucker on the right hand side:

16 x^2+48 x+32 = 16x^2-72 x+81

Now take everything on the right and shove it over to the left by subtracting 16x^2-72 x+81 from both side:

120x-49 = 0

Now we can put that 49 over to the right:

120x = 49

Holy shit, now divide both sides by 120 and what do you have?:

x = 49/120

FUCKING MATHS BITCH

---------- Post added at 08:40 PM ---------- Previous post was at 08:39 PM ----------

Fuck you I wrote a step by step for no reason
now i'm jealous...

2. Okay that is not maths for capable of doing in the summer.

3. If you tell us what u need this for, I'll give it a try.

4. Originally Posted by pedbera
wolframa rocks xD

YES. I FUCKING KNEW I WAS ONTO SOMETHING.

Couldn't get past what to do on the 4th or 5th step though.

5. Originally Posted by gamer4evere
If you tell us what u need this for, I'll give it a try.
Nothing really !!, i've been bad AND hating maths for over 3 years, now i'm trying to be a PRO at it

6. I'm going to do my best typing this up. I'm bound to fuck up somewhere with the parenthesis but the basic steps should be easy for you to get on your own.

Firs you want to eliminate any square roots on the left that you can. Do this by squaring both sides.

√x+(√x+4)^2 = 4+2x+(2√x)(√x+4) = 4+2 x+2√(x(x+4)) = ((√x+1)+(√x+2))^2

You'll end up with:

4+2x+(2√x(x+4)) = (√(x+1)+√(x+2))^2

Now you want to get rid of that radical on the left (4+2x), do this by subtracting it from both sides:

2√(x(x+4)) = (√(x+1)+√(x+2))^2-4-2x

Now you can get rid of yet another square root, do so by squaring again:

4x(x+4) = ((√(x+1)+√(x+2))^2-4-2 x)^2

Now you can see that you can simplify the left hand side:

4x^2+16x = ((√(x+1)+√(x+2))^2-4-2 x)^2

You can also do the same for the right side.

((√(x+1)+√(x+2))^2-4-2x)^2 = 9+12 x+4 x^2-4√(x+1)√(x+2):

4 x^2+16x = 9+12 x+4x^2-4 √(x+1) √(x+2)

You can also shove √(x+1) and √(x+2) under the same square root:

4x^2+16x = 9+12x+4x^2-4√((x+1)(x+2))

Here's the trickiest part in my opinion. You're gonna hit two birds with one stone by subtracting 4x^2 + 16x - 4√((x+1) (x+2)) from both sides.

So now 4x^2+16x = 9+12x+4x^2-4√((x+1)(x+2))

becomes

4√((x+1)(x+2)) = 9-4x

Oh look now we have another square root. Let's square this shit again:

16(x+1)(x+2) = (9-4x)^2

Simplify that motherfucker on the left:

16x^2+48x+32 = (9-4x)^2

Simplify the motherfucker on the right hand side:

16 x^2+48 x+32 = 16x^2-72 x+81

Now take everything on the right and shove it over to the left by subtracting 16x^2-72 x+81 from both side:

120x-49 = 0

Now we can put that 49 over to the right:

120x = 49

Holy shit, now divide both sides by 120 and what do you have?:

x = 49/120

FUCKING MATHS BITCH

---------- Post added at 08:40 PM ---------- Previous post was at 08:39 PM ----------

Originally Posted by pedbera
wolframa rocks xD

Fuck you I wrote a step by step for no reason

7. ## The Following 3 Users Say Thank You to Doc For This Useful Post:

Deflorate. (08-01-2013),Plutonsvea (08-01-2013),WarWood (08-01-2013)

8. Originally Posted by pedbera
Nothing really !!, i've been bad AND hating maths for over 3 years, now i'm trying to be a PRO at it
Solve this:

9. Originally Posted by pedbera
You guys are cheaters , i'm happy that none of you have solved it by yourselves...

PS: i've followed the answer from wolframalpha engine, and now i feel dumb...
I solved it by myself.

10. Originally Posted by Doc
I'm going to do my best typing this up. I'm bound to fuck up FUCKING MATHS BITCH

---------- Post added at 08:40 PM ---------- Previous post was at 08:39 PM ----------

Fuck you I wrote a step by step for no reason
Damn, sorry i fucked up

11. Originally Posted by pedbera
Damn, sorry i fucked up
It's okay, it was a nice refreshment.

12. Originally Posted by Doc

It's okay, it was a nice refreshment.

13. Originally Posted by Doc

It's okay, it was a nice refreshment.
120x = 49
x = 0.408333___

You've come so far, you may aswell just finish it. Lol.

14. Originally Posted by aeronyxjr

Solve this:

If I was able to think, and wasn't so FUCKING tired, I'd probably be able to figure the 1st, 2nd, and 3rd one.

But the fourth one I have no clue about.

15. Originally Posted by Plutonsvea
120x = 49
x = 0.408333___

You've come so far, you may aswell just finish it. Lol.
lol no thanks. Lets just round that bitch down to 0.

16. Originally Posted by pedbera
HEY IT'S SUMMER, LETS SOLVE SOME COMPLEX HARD MATH SHIT, BIATCH !!

Ok , the challenge is :

- Solve this equation here :

get the value of X using math techniques that you've learned !

PS: i can't solve this shit, i'm out (brain penetrated)
I solved it but it's very long so I didn't complete it.
Think of the squaring and and the rule of a2 + 2ab + b2 ( a squared, b squared).

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