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Answer:

x = -1 and x = 9

Step-by-step explanation:

3(x-4)^2 = 75

(x-4)^2 = 75/3 = 25

(x-4)=[tex]\sqrt25[/tex]

(x-4)= 5   or (x-4)=-5

x=9 or x= -1

Lanuel

The solutions to the given quadratic equation 3(x - 4)² = 75 are: D. x = -1 and x = 9.

Given the following data:

  • 3(x - 4)² = 75

How to solve a quadratic equation.

In this exercise, you're required to determine the value of x by solving for the factors or roots of the given quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0.

Dividing both sides by 3, we have:

3(x - 4)² = 75

(x - 4)² = 25

Take the square of both sides:

x - 4 = √25

x - 4 = ±5

x = 5 + 4

x = 9.

x = -5 + 4

x = -1.

Read more on quadratic equation here: brainly.com/question/1214333