Question

Find a quadratic polynomial, the sum and product of whose zeroes are √2 and −3/
2
respectively. Also, find its zeroes​

Answer 1

Answer:

$\sqrt[ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[ \sqrt[?]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} ]{?} } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } ]{?}$

Answer 2

hence required polynomial 2x - 2√2x-3