Question

Find a quadratic polynomial ,the sum and product of whose zeros are‚àö2 and-12 respectively and hence find the ze roes of ts polynomial

Answer 1

Hi Mate !!


Given :-

Sum of Zeros are :- 2
Product of Zeros is :- ( - 12 )

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

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

Putting values in it ¡

x² - 2x - 12 = 0

# Using Shree Dhracharya method

D = b² - 4ac

= ( 2 )² - 4 × 1 × ( - 12 )

= 4 + 48

= 52

• x = ( - b ± √D )/2a

x = ( 2 ± √52 ) /2

x = ( 2 ± 2√13 ) /2

x = 2 ( 1 ± √13 )/2

x = 1 ± √13