Question

Choose the best description of the roots of the equation 3x 2 - 4x + 5 = 0.

Answer 1

For this case we have the following polynomial:

`3x ^ 2 - 4x + 5 = 0`
Using the resolver we have:

`x = (-b +/- √(b^2 - 4ac))/(2a)`
Substituting values we have:

`x = (-(-4) +/- √((-4)^2 - 4*3*5))/(2*3)`

`x = (4 +/- √(16 - 60))/(6)`

`x = (4 +/- √(-44))/(6)`

`x = (4 +/- √(-4*11))/(6)`

`x = (4 +/- 2√(-11))/(6)`

`x = (2 +/- √(-11))/(3)`

`x = (2 +/- i√(11))/(3)`
Answer:
We observe that the solution to the quadratic equation are two imaginary roots.