Question

if alpha and beta are two zeroes of polynomial 25 p square minus 15 + 2 then find the quadratic polynomial whose zeros are 1 upon alpha ,1 upon beta

Answer 1

alpha and beta are roots of given eq
sum of roots =15/25
$\alpha + \beta = \frac{15}{25}$

product of roots 2/25
$\alpha \beta = \frac{2}{25}$

to find the equation we know

x^2+(sum of roots)x+(product of roots)
${x}^{2} + (\frac{1}{ \alpha } + \frac{1}{ \beta } )x + \alpha \beta$
${x}^{2} + ( \frac{ \alpha + \beta }{ \alpha \beta } )x + \alpha \beta$
put the valuse and solve to get the ans