Question

Find the root of the following quadratic equation. If real roots exist find them. 3x^2-2x+2=0

Answer 1

Answer:

Discrimination must be zero or greater than 0 for a real root.

Here,

Discriminant = (-2)² - 4(3*2)

= 4 - 4(6)

= 4 - 24

= - 20

It's obvious that - 20, being a negative number, can't be greater than 0.

It means real roots for this equation doesn't exist.

Here we used: for a standard equation ax² + bx + c = 0, discriminant is given by b² - 4ac,

Based on the numeric value of discriminant, roots are defined.

If Discriminant > 0, roots are real and unequal

If Discriminant < 0 , roots are non real and unequal.

If Discriminant = 0, roots are real & equal.