Answer: Last option.
Step-by-step explanation:
For this exercise you need to find the Discriminant.
The formula used to find the Discriminant, is the following:
[tex]D=b^2-4ac[/tex]
In this case, given the Quadratic equation:
[tex]6x^2-2x+7=0[/tex]
You can identify that:
[tex]a=6\\b=-2\\c=7[/tex]
Knowing those values, you must substitute them into the formula and then you must evaluate in order to find the Discriminant.
You get that this is:
[tex]D=(-2)^2-4(6)(7)\\\\D=-164[/tex]
By definition, if:
[tex]D<0[/tex]
Then the Quadraitc equation has 2 nonreal solutions.
