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If α and βare the zeros …

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If α and βare the zeros of the quadratic polynomial f(t)= t2-4t+3, find the value of α4β3 +α3β4 .

Posted by Diya Debbarma 5 months, 1 week ago

CBSE > Class 10 > Mathematics

1 answers

Aryan Garg 5 months, 1 week ago

To find the value of α^4β^3 + α^3β^4, we first need to find the sum and product of the roots of the quadratic polynomial f(t) = t^2 - 4t + 3. The sum of the roots (α + β) = -(-4) = 4 The product of the roots (αβ) = 3 Now, we can use these values to find the desired expression: α^4β^3 + α^3β^4 = α^3β^3(α + β) = α^3β^3 * 4 (since α + β = 4) = 4 * (αβ)^3 = 4 * 3^3 = 4 * 27 = 108 Therefore, the value of α^4β^3 + α^3β^4 is 108.

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