Question

find a quadratic polynomial whose zeros are 5 - underoot 2 and 5+ underoot 2

Answer 1

Given Zeros :- 5 - √2 and 5 + √2

Sum of Zeros :-

5 - √2 + 5 + √2

10


Product of zeros :-

( 5 - √2 ) ( 5 + √2 )

25 - 2

23

Formula to form quadratic equation :-

${x}^{2} - (sum \: of \: zeros) x + (product \: of \: zeros)$

x² - 10x + 23

Answer 2

x^2-10x+23..............