Question

find the discriminant of the quadratic equation 3x square - 5x+2 = 0 & write its nature of roots​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Given,

The quadratic equation $3x^{2} -5x+2$ is given.

To find,

• Discriminant of the equation.
• Nature of roots of the equation.

Solution,

The discriminant of the quadratic equation $3x^{2} -5x+2$ is 1 and the nature of roots is real and distinct.

We can simply find the discriminant of the quadratic equation by using the formula of discriminant,

           D = b² -4ac

                =  $3x^{2} -5x+2$

            D = (-5)² - 4(3)(2)

            D = 25 -24

            D = 1

Since the value of D>0 is a perfect square then the nature of roots is real and distinct.

Hence, the discriminant of the quadratic equation $3x^{2} -5x+2$ is 1 and the nature of roots is real and distinct.