What are the solutions to the quadratic equation 3(x − 4)2 = 75?

a. x = −9 and x = 1
b. x = −5 and x = 5
c. x = −4 and x = 4
d. x = −1 and x = 9

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: