Question

मान ज्ञात कीजिए।
If a and B are the zeroes of the quad
quadratic polynomial f(x) = x2 - 4x + 3,
find the value of a4b²+a²b4
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Answer 1

Step-by-step explanation:

$a \: and \: b \: are \: the \: zeros \: of \: the \: \\ polynomial \: {x}^{2} - 4x + 3 = 0 \\ a + b \: = 4 \: \: \: \: ab = 3 \\ {a}^{4} {b}^{2} + {a}^{2} {b}^{4} = {a}^{2} {b}^{2} ( {a}^{2} + {b}^{2} ) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {a}^{2} {b}^{2} (( {a + b)}^{2} - 2ab) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9(16 - 6) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9 \times 10 = 90 \\ \\ hope \: it \: will \: help \: you.$