Question

20: Find the discriminant of the equation 3x2–5x+2=0 and hence write the nature
of its roots.
CCE RF​

Answer 1

Answer:

D = 1 roots are real and distinct

Step-by-step explanation:

3x²-5x+2=0

D=b²-4ac

D= (-5) - 4 (3)(2)

D= 25-24

D=1

1<0 so, roots are real and distinct

Answer 2

Given Equation

3x² - 5x + 2 = 0

To find

i)Discriminant

ii)Nature of Roots

Now Take

3x² - 5x + 2 = 0

Compare with

ax² + bx + c = 0

We get

a = 3 , b = -5 and c = 2

Formula of Discriminant

D = b² - 4ac

Put the value on formula

D = (-5)² - 4×3×2

D = 25 - 24

D = 1

D>0 has two distinct real root

More Information

D<0

Imaginary Roots

D=0

Equal roots

D>0

Unequal Roots