Determine the type and number of solutions of 4x2 − 3x + 1 = 0. a two imaginary solutions b two real solutions c one real solution

Option A

The equation has two imaginary solutions

Solution:

Given that we have to determine the type and number of solutions of given quadratic equation

In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation

In the case of a quadratic equation , the discriminant is

If , then the given quadratic equation has two imaginal roots which are complex conjugates

Given quadratic equation is:

Here a = 4 and b = -3 and c = 1

The discriminant is given as:

Therefore the given equation has two imaginary solutions

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors