Question

a and B are zeroes of 3x2 – 5x+1 then
a square/b +b square/a
is equal to :
a)9
b)80/9
c)110/9
d)110/3​

Answer 1

Step-by-step explanation:

$3 {x}^{2} - 5x + 1 = 0$

$3 {x}^{2} - 3x - 2x + 1 = 0$

$3x(x - 1) - 2(x - 1) = 0$

$(3x - 2)(x - 1) = 0$

$x = \frac{2}{3} \: \: \: \: \: \: \: x = 1$

Let alpha and beta be the zeroes

$\alpha = \frac{2}{3} \: \: \: \: and \: \: \: \beta = 1$

According to the question,

$\frac{ { \alpha }^{2} }{ \beta } + \frac{ { \beta }^{2} }{ \alpha }$

${( \frac{2}{3} )}^{2} + (\frac{ \frac{1}{2} }{3}) ^{2}$

$\frac{4}{9} + \frac{9}{4}$

$\frac{16 + 81}{36}$

$\frac{97}{36}$

Answer 2

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