Question

find the zeros of root 5 +2 and root 5 - 2

Answer 1

Heya !!!



It seems your question is wrong.




Right question :- Find the quadratic polynomial whose zeroes are (✓5+2) and (✓5-2).


Solution :-




Sum of zeroes = ( ✓5 + 2) + ( ✓5 - 2) = 2✓5



And,


Product of zeroes = (✓5+2)(✓5-2) = (✓5)²-(2)² = 5-4 = 1


Therefore,


Required quadratic polynomial = X²-(Sum of zeroes )X + Product of zeroes

=> X² - (2✓5)X + 1


=> X² - 2✓5X + 1.


★ HOPE IT WILL HELP YOU ★