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If the zeroes of the polynomial …

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If the zeroes of the polynomial x3-3x2+x+1 are a-b,a and a+b ,find the values of the a and b

    • Posted by Rishi Sanganeria 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Ram Kushwah 6 years, 10 months ago

    {tex}\begin{array}{l}let\;\alpha,\beta,\gamma\;are\;zeros\\hen\;\alpha+\beta+\gamma=-\frac{-3}1=3\\or\;a-b+a+a+b=3\\3a=3\;so\;\;a=1\\\alpha\beta\gamma=-\frac11=-1\\so\;a(a-b)(a+b)=-1\\a(a^2-b^2)=-1\\1(1-b^2)=-1\\b^2=2\\b=\pm\sqrt2,a=1\end{array}{/tex}

    1Thank You

    Honey ??? 6 years, 10 months ago

    a=1 and b= root 2

    0Thank You

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