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

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

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

Find the value of a if the equation 2x^2-(a+1)x+(a-1)=0 has equal roots.

Find the roots of the following equations: 2/3x^2-1/3x-1=0

Find the roots of the polynomial equation (x + 2)^(3) (x - 1)^(2) (x+1) = 0 and state their multiplicity

Solve the equation (x-4)(x-2)(x-1)(x+1)+8=0

f (x) = {{:((|x^(2)- x|)/(x^(2) - x),xne 0"," 1),(1",", x = 0),(-1",", x = 0 ):} is continuose for all :