List of top Mathematics Questions on Quadratic Equations asked in JEECUP

If \(\alpha\) and \(\beta\) are the roots of \(x^2-5x+6=0\), the value of \(\alpha^2+\beta^2\) is: 

The roots of the quadratic equation x² - 5x + k = 0 are real and distinct. What is the range of values for k?
The quadratic equation, whose roots are \( \frac{4 + \sqrt{7}}{2} \) and \( \frac{4 - \sqrt{7}}{2} \), is:
If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is
The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is
If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is
The sum of two numbers is 11 and their product is 30, then the numbers are: