Related Questions

If sum of the roots of a quadratic equation is ­-7 and product of the roots is 12. Find the quadratic equation.
If, α and β are the roots of the equation 2x2 – 3x – 6 = 0, then what is the equation whose roots are α2 + 2 and β2 + 2?
If α and β are the roots of equation x2– 2x + 4 = 0, then what is the equation whose roots are α3/β2and β3/α2?
If roots of the auxiliary equation of $$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} + {\text{a}}\frac{{{\text{dy}}}}{{{\text{dx}}}} + {\text{by}} = 0$$     are real and equal, the general solution of the differential equation is