Question

please solve quadratic equation​

Answer 1

Solution:

We are given a quadratic equation: 3x²-2x+1/3 = 0. From the given equation, we know that:

• a = 3
• b = -2
• c = 1/3

Now, let us find the discriminant of the given equation. We know that,

→ D = b²-4ac

→ D = (-2)²-4×3×1/3

→ D = 4-4

→ D = 0

Hence, the Discriminant is 0. When the discriminant is 0, the roots are real and equal.

As the roots are real, let's find it using quadratic formula method. We know that,

→ x = -b±√D/2a

→ x = 2±0/2×3

→ x = (2+0)/6 or (2-0)/6

→ x = 2/6 or 2/6

→ x = 1/3 or 1/3

Hence, the roots are 1/3 or 1/3.

Know More:

• Discriminant of an equation tells us whether the roots are distinct, equal or unreal.
• If D is positive, roots are distinct.
• If D is 0, roots are equal.
• If D is negative, no root exists.