Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it. What does its value signifies?

Find the discriminant of the quadratic equation 2x^(2)-4x+3=0 , and hence find the nature of its roots.

Find the discriminant of the quadratic equation 3x^2 - 5x + 2 = 0 and hence write the nature of its roots.

Find the discriminant of the quadratic equation 2x^(2) - 4x + 3 = 0 and hence find the nature of its roots.

Find the values of k for each of the following quadratic equations so that they have two equal roots. :. k = 6

For what positive value of x the quadratic equation 4x^(2) - 9 = 0

Find the value of k, if 2 is one of the roots of the quadratic equation x^(2) - kx + 6 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x^2+kx+3=0

Represent the following situations in the form of quadratic equation: The area of a rectangular plot is 528 m^(2) . The length of the plot is one metre more than twice its breadth. We need to find the length and breadth of the plot.

Represent the folloiwng situations in the form of quadratic equations. The area of rectangular plot is 150m^2 . The length of the plot is two more than thrice its breadth. We have to find the length and breadth of the plot.