Question

find the discriminant of the quadratic equation 3x²-5x+2=0 and write the nature of the roots​

Answer 1

Answer:

condition of discriminate :-

b^2 - 4ac

-5^2 - 4 * 3 * 2 =0

25 - 24 =0

discriminate = 1

Answer 2

Answer:

Nature of the roots: Real, distinct

Step-by-step explanation:

f(x) = 3x² - 5x + 2

Comparing with the form ax² + bx + c=0

we get:

a = 3; b = -5; c = 2

Discriminant, D = b² - 4ac

=> (-5) ² - 4(3)(2)

=> 25 - 24

=> 1 > 0

D > 0

The discriminant is greater than 1, that means it is real and have distinct roots.