Question

find the quadratic polynomial whose zeros are 2+âš3 and 2-âš3

Answer 1

Hi Mate !!


Given Zeros are :- ( 2 + √3 ) & ( 2 - √3 )


• Sum of the Zeros :-

2 + √3 + 2 - √3

= 4

• Product of the Zeros :-

( 2 + √3 ) ( 2 - √ 3 )

[ Using identity :- ( a + b ) ( a - b ) = a² - b² ]

( 2 )² - ( √ 3 )²

= 4 - 3

= 1


• To form the quadratic equations we have formula as :-

x² - ( Sum of Zeros )x +(Product of Zeros )

Putting value in it !

x² - 4x + 1 is the required quadratic equation !!