Question

If α and ß are the zeroes of the polynomial 5x²-7x+ 2, then sum of their reciprocals is​

Answer 1

Answer:

$refer \: to \: the \: attachment$

Answer 2

p(x)=5x²-7x+2

0=5x²-(5+2)x+2

0=5x²-5x-2x+2

0=5x(x-1)-2(x-1)

0=(5x-2)(x-1)

if, x-1=0

x=1

if, 5x-2=0

x=2/5.

therefore,

$\alpha = 1 \\ \beta = \frac{2}{5}$

So,

$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{1}{1} + \frac{1}{ \frac{2}{5} } \\ = \frac{2 + 5}{2} \\ \frac{1}{ \alpha } + \frac{1}{ \beta } = > \frac{7}{2}$

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brainliest mark Karna mat bhoolna!!xD

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$itzDopeGirl❣$