Show that the roots of each of the following equations are conjugate complex numbers:
`1/(x-3)+x/5=0`

Show that the roots of each of the following equations are conjugate complex numbers: 3x^2-4x+3=0

Show that the roots of each of the following equations are conjugate complex numbers: 1/(x-1)+1/(x-2)=2/(2x-3)

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. 3x^2-7x+5=0

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. sqrt3x^2+x+sqrt3=0

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. 2x^2-3x+4=0

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. (2x-1)/(x-2)=x/(x-1)

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. x^2+4x+8=0

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. x^2+2x+2=0

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