During a sale, all video games are $10 off. Nicole used a coupon to get an additional $20 off her purchase. If the original price of a video game was $75, how much did Nicole pay?

45 dollars

Step-by-step explanation:

20 plus 10 is 30. That means she gets a total of 30 dollars off. Subtract 30 from the original price of 75, and you get 45 dollars.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)