For `a le 0,` jdetermine all real roots of the equation
`x^(2)-2a|x-a|-3a^(2)=0`

For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

Find the real roots of the equation . x^2+5|x|+6=0

Product of real roots of the equation x^(2)+|x|+9=0

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

The number of real solution of the equation x^(2)-3|x|+2=0 is

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

The number of real root of the equation e^(x-1)+x-2=0 , is

Find the maximum possible number of real roots of the equation. x^(5)-6x^(2)-4x+5=0 .

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.