The ratio of rock songs to pop songs on Lydia's playlist is 2 : 3. If she has a total of 50 rock songs on her playlist, how many pop songs are on her playlist?

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

transitive property

step-by-step explanation:

the definition of the transitive property is:

if a = b, and b = c, then a = b