Question

if a,b are zeroes of the polynomil 4x^2_5x+1,find the value ofa^2b+b^2a ​

Answer 1

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Answer 2

Answer :

4x² - 5x + 1

⇒ Sum of zeroes = - b/a

⇒ a + b = - (-5)/4

⇒ a + b = 5/4.....(i)

And,

Product of zeroes = c /a

⇒ ab = 1/4.....(ii)

$=a {}^{2} b + b {a}^{2} \\ \\ =ab(a + b) \\ \\ =\frac{1}{4} ( \frac{5}{4} ) \\ \\= \frac{5}{16}$