Answer:
Imaginary Roots
Step-by-step explanation:
The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is
x = [-b ± √(b^2 - 4ac)]/ 2a
Given:
3x2 - 4x + 5 = 0'
Here a = 3, b = -4 and c = 5
Substituting:
x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)
Further Simplification:
x = [4 ± √(16 - 60)]/6 ----> Discriminant: b^2 - 4ac = -44 < 0.
x = [4 ± √-44]/ 6
Now, we get:
x = [4 ± 2√-11]/ 6
x = [2 ± i √11]/ 3
Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.
