What are the solutions to the quadratic equation 3 (x - 4) 2 = 75? x = - 9 and x = 1 x = - 5 and x = 5 x = - 4 and x = 4 x = - 1 and x = 9

Question

Mathematics

Rowan Archer

7 June, 08:42

What are the solutions to the quadratic equation 3 (x - 4) 2 = 75? x = - 9 and x = 1 x = - 5 and x = 5 x = - 4 and x = 4 x = - 1 and x = 9

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Answers (1)

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Kyla Koch · Answer 1

First, divide the equation by 3 to give, (x - 4) ² = 25. Getting the square roots of both sides of the equation will give,

x - 4 = 5 and x - 4 = - 5

The values of x from the equation above are x = 9 and x = - 1.