If the sum of the roots of the equation `1/(x+a)+1/(x+b)=1//c` is zero, the prove that the product of the root is `(-1/2)(a^2+b^2)dot`

If the sum of roots of the equation (1)/(x+a)+(1)/(x+b)=(1)/(c ) is zero, prove that product of the roots is -(a^(2)+b^(2))/(2)

If the sum of the roots of the quadratic equation 1/(x+p)+1/(x+q)=1/r is zero, show that the product of the roots is (-(p^(2)+q^(2))/2)

If the sum of the roots of equation (1)/(x+a)+(1)/(x+b)=1/c is zero, then the product of roots is :

The sum of the roots of the equation 1/(x+a) + 1/(x+b) = 1/c is zero. What is the product of the roots of the equation ?

If the sum of the roots of the quadratic equation is 1/(x+p)+1/(x+q)=1/r is zero,show that the product of the roots is -((p^2+q^2)/2) .

If the sum of roots of the quadratic equation is 1/(x + p) + 1/(x + q) = 1/r is zero, show that the product of the roots is - ((p^(2) +q^(2))/2)

If the sum of the roots of the equation x^(2)-x=k(2x-1) be zero, then k _____.

If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is -1, then find the product of the roots.

If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is -1, then find the product of the roots.

If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0 is -1 then find the product of the roots.