IF a,b,c are real, show that the roots of each of the following equations are real:
`1/(x-a)+1/(x-b)+1/(x-c)=0`

IF a,b, are real, show that the roots of each of the following equations are real: 1/(x-a)+1/(x-b)=1/a^2

IF a,b,c are real, show that the roots of each of the following equations are real: (x-a)(x-b)=b^2

IF a,b,c are real, show that the roots of each of the following equations are real: (b-c)x^2+2(c-a)x+a-b=0

prove that the roots of the following equations are real 1)x^(2)-2ax+a^(2)-b^(2)-c^(2)=0

IF a,b,c are real, prove that the roots of the equation 1/(x-a)+1/(x-b)+1/(x-c)=0 are always real and cannot be equal unless a=b=c.

If a , b , c , are real, then prove that roots of the equation 1/(x-a) + 1/(x-b) + 1/(x-c) = 0 are real.

If a ,b ,c are distinct positive numbers, then the nature of roots of the equation 1/(x-a) + 1/(x-b) + 1/(x-c) = 1/x is a) all real and is distinct b) all real and at least two are distinct c) at least two real d) all non-real

If a, b, c are real, then both the roots of the equation (x -b )(x -c)+(x -c)(x - a)+(x - a)(x - b)=0 are always

If a,b,c are distinct positive numbers,then the nature of roots of the equation 1/(x-a)+1/(x-b)+1/(x-c)=1/x is a.all real real and is distinct b.all real and at leat two are distinct c.at least two real d.all non-real