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

The sum of roots of the equation |2x+3|-|x-1|=6 is

The sum of the roots of the equation 2^(33x-2)+2^(11x+2)=2^(22x+1)+1 is

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

The sum of roots of equation (1)/(x+a)+(1)/(x+b)=(1)/(c) is zero find the product of roots of equation a)0b ) ((a+b)/(2))c)-((a^(2)+b^(2))/(2))d(a^(2)+b^(2))

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal,then prove that 2b=a+c