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March 29
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Lyra's calification by Pandramodo Lyra's calification by Pandramodo
:iconlyraponyplz::iconsaysplz:problem? :iconhiddentrollfaceplz:
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:iconstargazerdesign:
StargazerDesign Featured By Owner 1 day ago  Student Interface Designer
Math is complicated... 
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:iconcooper31:
Cooper31 Featured By Owner 2 days ago  New member Student Digital Artist
Exploding maths problem!
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:iconspeedy526745:
Speedy526745 Featured By Owner 3 days ago
Is it bad that I immediately tried to solve this equation as soon as I saw it?

And here's the breakdown, because that's how I roll:
x + sqrt(x - 1) = 2x – 7

sqrt(x - 1) = x – 7

x – 1 = (x - 7)2 = x2 – 14x + 49

0 = x2 – 15x + 50

0 = (x – 5)(x – 10)

7 ≠ 3, so x ≠ 5

13 = 13, so x = 10  

 

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:iconthepianistdragon:
ThePianistDragon Featured By Owner 2 days ago  Hobbyist Traditional Artist

I did mine a little differently.
X + √(X-1) = 2X - 7  the equation on the card

√(X-1) = X - 7   getting the sqrt by itself

X – 1 ≥ 0    calculating what the x under the sqrt could be

X ≥ 1    done; the x under the sqrt has to be greater than or equal to 1

0 ≥ X – 7    knowing the end result of the sqrt has to be greater than or equal to zero we use this to calculate what x by itself should be

7 ≥ X    done; the score on the card has to be seven or more (but nothing more than 10)

X – 1 = (X - 7) * (X - 1)    multiplying both sides by  removes the sqrt

X = 7 , X ≠ 1    we already know x by itself can't be 1, so it has to be 7

X – 1 = 7    but we still have a minus one on the other side, so…

X = 8    that's better


I haven't done this sort of math in a while, so I'm not sure if I'm right. But I just wanted to show how I got it. I got 8 as my score.

 

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:iconmandelbrony:
Mandelbrony Featured By Owner Edited 1 day ago

"0 ≥ X – 7    knowing the end result of the sqrt has to be greater than or equal to zero we use this to calculate what x by itself should be"

If sqrt(x-1) is assumed to be >=0, then the opposite (which is equal to this) must also be >=0.  so we conclude that x-7 >= 0.


"X – 1 = (X - 7) * (X - 1)    multiplying both sides by  removes the sqrt"

Starting from the original equation, if you move the lone X on the left to the right, you get sqrt(x-1) = x-7.  Squaring this gives us   x-1= (x-7)*(x-7).
Bear in mind that you can only solve quadratic equations when they are in the form: 0 = (x + A)*(x + B)
The left side must equal zero in order to isolate either (x + A) or (x + B) and solve for the answers.

Answer should be 10 in the end.

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:iconfotland42:
fotland42 Featured By Owner 2 days ago
It was too much bother to actually do the algebra, so I just assumed that the answer was probably 10 and confirmed.

I mean, it's probably a rational number between 0 and 10, which immediately narrows it down to 1, 2, 5, or 10.
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:icone-tec:
e-tec Featured By Owner 3 days ago  Hobbyist General Artist
wow.
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:iconprincesscrystalsnow:
PrincessCrystalSnow Featured By Owner 6 days ago
Lyra is awsome
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:icon1cosmiconsciousness:
1cosmiconsciousness Featured By Owner Jul 17, 2014  New member
Lyra is cool.
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:icon1cosmiconsciousness:
1cosmiconsciousness Featured By Owner Jul 3, 2014  New member
I would've given that performance a 2x+(sq root of x)=3x-6
(how do I insert that symbol of square root?)
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