Question

find the discriminant of the equation 2x2-5x-3=0and hence find the nature of its roots find them if they are real​

Answer 1

Given:

• A quadratic equation is given to us.
• The equation is 2x² - 5x - 3=0.

To Find:

• The nature of roots and tell whether they are real or not.

Answer:

Given Quadratic equation is 2x² - 5x - 3=0.

The discriminant of quadratic equation in standard form ax²+bx+c = 0 is given by b²-4ac.

=> D = (-5)² - 4×2×(-3)

=> D = 25 + 24.

=> D = 49.

Since D is positive and square of a number, hence the roots are real and Rational numbers.

Answer 2

Answer:

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