Question

Use the quadratic formula to find the solutions to the quadratic equation

below
3x2 - 5x + 4 = 0

Answer 1

To find the solutions to the quadratic equation 3x^2 - 5x + 4 = 0, we can use the quadratic formula. The solutions are imaginary.

Step-by-step explanation:

To find the solutions to the quadratic equation 3x^2 - 5x + 4 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

By comparing the given equation to the general form ax^2 + bx + c = 0, we can determine that a = 3, b = -5, and c = 4. Plugging these values into the quadratic formula:

x = (-(-5) ± √((-5)^2 - 4(3)(4))) / (2(3))

Simplifying further:

x = (5 ± √(25 - 48)) / 6

x = (5 ± √(-23)) / 6

Since the discriminant (√(b^2 - 4ac)) is negative, there are no real solutions to this quadratic equation. Therefore, the solutions are imaginary.

Answer 2

`x \in \varnothing`

Step-by-step explanation:

`3x^(2) -5x+4=0\\ \Delta = \frac{-5^{2\pm \sqrt{5x^(2) -48} } }{6} =(25\pm √(-23))/(6) \\ \Rightarrow x \in \varnothing \:(can't\: take\: square\: root\: of\: negative\: number)`