Question

write quadratic equation whose roots are 1/root2 ,1/​

Answer 1

Answer:

Step-by-step explanation:

roots are  1/ √2 ,  1

sum of roots  = 1/√2  + 1

                     = (1+√2)/√2

product of roots = ( 1/√2) (1)

                          = 1/√2

required quadratic equation is of the form  

x² -(sum of roots) x + product of roots

x² - [(1+√2)/√2 ] x  + 1/√2

√2x² -(1+√2) x + 1