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

1 rational solution

2 no real solutions

2 rational solutions

2 irrational solutions

Yo need to use discriminant

for ax²+bx+c=0

the discriminat is b²-4ac

if the discriminant is

1. less than 0, then 0 real solutions

2. equal to 0, then 1 real solutions

3. if more than 0, then 2 real solutions

given

6x²-2x+7=0

a=6

b=-2

c=7

(-2) ²-4 (6) (7)

4-168

we can see this is less than 0

no real solutions