Question

How many, and what type of, solutions does 6x^2−2x+7=0 have?

2 nonreal solutions1 rational solution2 rational solutions2 irrational solutions

Answer 1

You can use the discriminant to solve this problem.


`b^(2) -4ac` where a=6, b=-2, c=7
Plug it in

`(-2)^(2) -4(6)(7)`
4-168=-164

Since it is negative there are no real solutions.