If two roots of `x^3-a x^2+b x-c=0` are equal inn magnitude but opposite in signs, then prove that `a b=cdot`

If two roots of x ^(3) -ax ^(2) + bx -c =0 are equal in magnitude but opposite in sign. Then:

If roots of ax^(2)+bx+c=0 are equal in magnitude but opposite in sign,then

If two roots of the equation x^(3)-px^(2)+qx-r=0 are equal in magnitude but opposite in sign,then:

If two of the roots of x^(3)+ax+b=0 are equal then

If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in magnitude but opposite in sign, then the value of k is

If the roots of the equation 1/(x+p) + 1/(x+q) = 1/r are equal in magnitude but opposite in sign and its product is alpha

If the roots of the equation (1)/(x+a)+(1)/(x+b)=(1)/(c) are equal in magnitude but opposite in sign , then their prodcut is :