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

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

it would open into a square depending on the type of envelope i’m not sure about the second part

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15