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

Sum of the roots of the equation |x-3|^(2)+|x-3|-2=0 is

If the product of roots of the equation mx^(2)+6x+(2m-1)=0 is -1 then the value of m is

The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| =0 are

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

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

The roots of the equation |(1+x,3,5),(2,2+x,5),(2,3,x+4)|=0 are

The number of real roots of the equation |x|^(2) - 3|x| + 2 = 0 is a)1 b)2 c)3 d)4

If x and y are the roots of the equations x^(2)+bx+1=0 then the value of (1)/(x+b)+(1)/(y+b) is