Solve the equation `x^2+p x+45=0.` it is given that the squared difference of its roots is equal to 144

Solve the equation x^(2)-45x+324=0 .

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

If the difference between the roots of the equation x^(2)-px+q=0 is the same as the difference of the roots of the equation x^(2)-qx+p=0 ,show that p+q+4=0 or p=q.

If the difference of the roots of the equation x^(2)-5x+6=0 is same as the difference of the roots of the equation x^(2)+bx+c=0 then minimum value of x^(2)+bx+c=0 is _________

solve the equation x^(4)+2x^(3)-5x^(2)+6x+2=0 given that 1+i7 is one of its roots

A real value of a, for which the sum of the roots of the equation x^(2)-2ax+2a-1=0 is equal to the sum of the square of its roots, is

The roots x_(1) and x_(2) of the equation x^(2) +px +12=0 are such that their differences is 1. then the positive value of p is