List of top Mathematics Questions on Quadratic Equations asked in MHT CET

The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is
The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:
Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).
Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.
Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.
The equation \( (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 \), where \( x \) is a variable with real roots. Then the interval of \( p \) may be any one of the following: