Aboard game is played as follows: a number cube numbered 1 to 6 is rolled. if the number 1 comes up, you get nothing. if the number 2, 3, or 5 comes up, you win 40 points. if the number 4 or 6 comes up, you lose 60 points. the expected value proves that the game is fair. true false

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)