List of top Engineering Mathematics Questions on Quadratic Equation

If the sum of the three numbers which are in A.P. is \(27\) and the product of the first and last is \(77\), then the numbers are
If \(\alpha,\beta\) are the roots of \(ax^2+bx+c=0\), then \[ \left(\frac{\alpha}{\beta}-\frac{\beta}{\alpha}\right)^2 = \]
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and distinct, what is the condition on the discriminant?
The solution of the given ordinary differential equation \( x \frac{d^2 y}{dx^2} + \frac{dy}{dx} = 0 \) is: