For what value of m the roots of the equation I are equal in magnitude and opposite in signs?

Find the condition so that the roots of the equation lx^2+mx+n=0 are equal is magnitude and opposite in signs

The two quantities are equal in magnitude but opposite in sign

The two quantities are equal in magnitude but opposite in sign

For what value of m the roots of the equation 3/(x+3+m)+5/(x+5+m)=1 are equal in a magnitude and opposite in signs?

For what value of m the roots of the equation x^2-2(5+2m)x+3(7+10m)=0 are equal in magnitude and opposite in signs?

IF the roots of ax^2+bx +c=0 are equal in magnitude but opposite in sign then

If roots of ax^2+bx+c=0 are equal in magnitude but opposite in sign, then