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Solving a Quadratic Equation

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The first two steps for solving the equation 2(x−3)2=82(x-3)^2 = 8 are shown below.

  1. (x−3)2=4(x-3)^2 = 4
  2. x−3=±2x-3 = \pm 2

What are the solutions for xx?

A

x=2 and x=4x = 2 \text{ and } x = 4

B

x=5x = 5

C

x=−1 and x=7x = -1 \text{ and } x = 7

D

x=1 and x=5x = 1 \text{ and } x = 5

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