how many and what type of solutions does 5x^2-2x+6 have

Answer:
two irrational solutions
Step-by-step explanation:
you can use the quadratic formula: (b ± √b²- 4ac)÷2a
a = 5, b = -2, c = 6
= [2 ± √(-2²)-4(5)(6)] ÷ 2(5)
= (2 ± √4-120) / 10
two complex solutions: (2+√-116)/10, (2-√-116)/10