x^(2)+(a+(1)/(a))x+1=0

Roots of -x^(2) + (1)/(2) x + (1)/(2) = 0 , are

If x^(2) + x + (1)/(x^(2)) + (1)/(x) lt 0 , then which of the following is true ?

For what values of a is the difference between the roots of the equation 2x^(2)-(a+1)x+(a-1)=0 equal to their product

. If the difference of the roots is equal to the product of the roots of the equation 2x^(2)-(a+1)x+(a-1)=0 then the value of a is

If the difference of the roots of the equation 2x^(2) - (a +1) x + a -1 = 0 is equal to their product, then prove that a = 2.

If the difference of the roots of the equation 2x^(2)-(a+1)x+a-1=0 is equal to their product then prove that a=2