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![[Post New]](/templates/default/images/icon_minipost_new.gif) 2 Sep 2007 19:24:31 IST
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Determine all such integers a and b for which one of the roots of 3x3+ax2+bx+12=0 is equal to 1 + Ö3.
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~ANSHUMAN
I was born intellegent, education ruined me. |
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Just substitute the value of x in the equation.
As a and b are integers , the rational and irrational parts can be equated separately.
so a=-12 , b= 6
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2 Sep 2007 19:46:07 IST
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yes this one way to find one of the pairs a and b
it is asked dat
"Determine all such integers"
this is only one of the pairs. and if this is only the solution den how can u prove that there exists only one a and one b.
there may be other values of a and b also
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~ANSHUMAN
I was born intellegent, education ruined me. |
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2 Sep 2007 20:00:32 IST
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If there are other solutions , they should also solve the equations.
The fact that we get 2 linear equations in 2 variables itself proves that there are no other solutions.
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