Confirmation in my solution to finding these roots

[subopolois]

Homework Statement

find the roots of:
3x^2 − 4x + 2 = 0

Homework Equations

quadratic equation

The Attempt at a Solution

4+/- sqrt16-24/6

4+/-sqrt-8/6

4+/- isqrt4 sqrt2

4+/-2isqrt2/6
simplify a bit

x= 2-2sqrt2i
x= 2+2sqrt2i

does this seem right?

 

[Mark44]

When you're typing mathematical expressions on a single line, you need to use parentheses to group things appropriately.

For your equation, 3x^2 -4x + 2 = 0 (a quadratic equation), you can use the quadratic formula:
x = (-b $$\pm$$ $$\sqrt{b^2 - 4*a*c}$$)/(2*a).

Without the LaTeX coding, this can be written as

x = (-b +/- sqrt(b^2 - 4ac))/(2a)

What you have in your first line after applying the quadratic formula is this:
4+/- sqrt16-24/6

If you had used parentheses, you would have had a better chance of getting the right answer. How about giving them a try?

 

[Architeuthis Dux]

I cannot confirm or deny the accuracy of your solution without further information. In order to find the roots of a quadratic equation, the quadratic formula can be used, as you have correctly stated. However, it is important to check your work and ensure that the solutions you have found satisfy the original equation. Additionally, it may be helpful to provide the steps you took to arrive at your solution, so that others can understand and verify your process.