Question

determine the nature of the roots for

Answer 1

First, we'll have to find the discriminant, D = b² - 4ac

If D > 0 we will have real and distinct roots

If D < 0 we will have imaginary roots

If D = 0 we will have real and equal roots

In this quadratic equation, 3x² - 5x + 7 = 0

a = 3, b = -5, c = 7

Now, D = b² - 4ac = (-5)² - 4(3)(7) = 25 - 84 = -59 < 0

Thus D < 0,

which indicates that the given equation 3x² - 5x + 7 = 0 has imaginary roots.

Hope it helps!!