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Solve the equation for x. Remember that you may have 2 solutions, 1 solution, or no real solutions.

X^2 = 16

A. x = 4
B. x = -4
C. x = 2
D. x = -2

User Enducat
by
8.3k points

1 Answer

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Final answer:

The equation x^2 = 16 has two solutions, x = 4 and x = -4, because squaring either a positive or negative number can result in a positive square.

Step-by-step explanation:

To solve the equation x^2 = 16, we can take the square root of both sides, which gives us two possible solutions for x. Taking the square root of 16 gives us 4, but since squaring a negative number also results in a positive number, we have to consider that x could be both positive and negative, so the two solutions are:

  • x = 4
  • x = -4

Therefore, the correct answers are B. x = -4 and A. x = 4.

User Ignat Loskutov
by
8.1k points

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