32. John collects postcards. He buys them in packages of 8. He currently has 96 postcards.
Write an equation to model the size of his
collection after buying x packages.
A) 8x = 96
Cy= 96 + 8
® y=96x + 8 Dy=8x + 96

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)