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timofeeve [1]
3 years ago
5

What is (are) the solution(s) to the equation 2(x−4)2=50

Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

x = 9 and x = -1

Step-by-step explanation:

This equation should be written all on one line:

2(x - 4)^2 = 50

using " ^ " to denote exponentiation.

Dividing both sides by 2 yields

(x - 4)^2 = 25

We must solve for x - 4, and then for x alone:

Taking the square root of both sides, we get:

x - 4 = ±5

which yields two separate solutions:  x = 9 and x = -1

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