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)+px+45=0. it is given that the squared difference of its roots is equal to 144

Solve the equation x^3-9x^2 + 14x +24 = 0 if it is given that two of its roots are in the rotio 3:2.

Solve the equation x^3-9x^2+14x+24=0 if it is given that two of its roots are in the ratio 3:2.

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 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.

Solve the equation 3x^3 -4x^2 +x +88 =0 given that 2- sqrt(-7) is a root .

Solve the equation 3x^3 -4x^2 +x +88 =0 given that 2- sqrt(-7) is a root .