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

2 thoughts on “20: Find the discriminant of the equation 3×2–5x+2=0 and hence write the nature<br />of its roots.<br />CCE RF​”

1. 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

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2. 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

   Reply