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If alpha and beta are the zeroes of quadratic polynomial f(t)=t^2-4t+3, find the value of aplha^4 beta^3 + alpha^3 beta^4

Posted by Arjun Rathore 6 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Ram Kushwah 6 years, 7 months ago

f(t)=t^2-4t+3

{tex}\begin{array}{l}\alpha+\beta=4,\alpha\beta=3\\\alpha^4\beta^3+\alpha^3\beta^4\\=\alpha^3\beta^3(\alpha+\beta)\\=(3)^3(4)\\=27\times4\\=108\\\end{array}{/tex}

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Dilip Prajapati 6 years, 7 months ago

135

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CBSE > Class 10 > Mathematics