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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Feb 2008 09:57:23 IST
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If a, b and c are the roots of the equation x3-mx+19 = 0, find a3+b3+c3.
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Time wounds all heels |
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23 Feb 2008 10:02:33 IST
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is it -57??
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Na pine ka shouk tha na pilane ka shonk tha. Hume to sirf NAZREIN milane ka shonk tha. Par kya karen hum nazre hi unse mila baithe jinhe nazron se PILANE ka shonk tha. |
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23 Feb 2008 10:03:29 IST
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method please!
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from thoery of roots we get
a+b+c=0
ab+bc+ac=-m
abc=-19
now
a3 + b3 + c3 - 3abc = (a+b+c)(a2 +b2 + c2 -ab -bc -ac)
since a+b+c=0
a3 + b3 + c3 = 3abc = 3*-19= -57
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Na pine ka shouk tha na pilane ka shonk tha. Hume to sirf NAZREIN milane ka shonk tha. Par kya karen hum nazre hi unse mila baithe jinhe nazron se PILANE ka shonk tha. |
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23 Feb 2008 10:19:12 IST
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rate if satisfied.....
cheeeerzz
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Na pine ka shouk tha na pilane ka shonk tha. Hume to sirf NAZREIN milane ka shonk tha. Par kya karen hum nazre hi unse mila baithe jinhe nazron se PILANE ka shonk tha. |
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23 Feb 2008 10:20:17 IST
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hey man it is -57
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23 Feb 2008 10:45:46 IST
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Ok now I change the equation to x3-5x2+8x-2 = 0 Now find a3+b3+c3
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23 Feb 2008 10:49:53 IST
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now it comes as 11
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Na pine ka shouk tha na pilane ka shonk tha. Hume to sirf NAZREIN milane ka shonk tha. Par kya karen hum nazre hi unse mila baithe jinhe nazron se PILANE ka shonk tha. |
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23 Feb 2008 10:52:06 IST
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now
a+b+c = 5
ab+bc+ac = 8
abc = 2
same as above
a3+b3+c3 - 3abc = (a+b+c)(a2+b2+c2 -ab-bc-ac)
a3+b3+c3 = 5(25-3*8)+6 = 11
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Na pine ka shouk tha na pilane ka shonk tha. Hume to sirf NAZREIN milane ka shonk tha. Par kya karen hum nazre hi unse mila baithe jinhe nazron se PILANE ka shonk tha. |
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