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I looked at the problem and knew it was 6 after pluging in several numbers.
K=6
How do we intuitively create 180 = 216 - 36? I see this a lot, and sometimes I can spot why it's done and other times like now I can't. Did you plug in 6 at the very top to get that?
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6³-6²=216-36=180So x=6And two complex roots else
x^3-x^2+/-x-180=0 , (x-6)(x^2+5x+30)=0 , x=6 , x^2+5x+30=0 , x=(-5+/-V(25--120))/2 , x=(-5+/-i*(95))/2 , 1 -6 test x=6 , 6^3-6^2=216-36 , --> 180 , OK , 5 -30 solu , x= 6 , (-5+i*(95))/2 , (-5-i*(95))/2 , 30 -180
I looked at the problem and knew it was 6 after pluging in several numbers.
K=6
How do we intuitively create 180 = 216 - 36? I see this a lot, and sometimes I can spot why it's done and other times like now I can't. Did you plug in 6 at the very top to get that?
✌️
6³-6²=216-36=180
So x=6
And two complex roots else
✌️
x^3-x^2+/-x-180=0 , (x-6)(x^2+5x+30)=0 , x=6 , x^2+5x+30=0 , x=(-5+/-V(25--120))/2 , x=(-5+/-i*(95))/2 ,
1 -6 test x=6 , 6^3-6^2=216-36 , --> 180 , OK ,
5 -30 solu , x= 6 , (-5+i*(95))/2 , (-5-i*(95))/2 ,
30 -180
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