The equation given above is written here below with all the terms transposed to only one side of the equation. 2x² + 3x + 8 = 0 The quadratic formula used for the determination of the roots is, x = (-b +/- sqrt (b² - 4ac)) / 2a
In the quadratic equation above, we have the numerical coefficients. a = 2 b = 3 c = 8
Substituting the known values, x = (-3 +/- sqrt (3² - 4(2)(8))/ (2)(2) x = -0.75 + 1.854i and x = -0.75 - 1.854i
By the calculated roots above, it is known that the roots are imaginary.
