Solve the equation by the square root property.
$(2 x - 3)^{2} = 23$

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Final Answer: The solutions to the equation $(2 x - 3)^{2} = 23$ are $x = 3.8979157616563596$ and $x = - 0.8979157616563596$

Steps

Step 1 ：Given the equation $(2 x - 3)^{2} = 23$

Step 2 ：According to the square root property, if $x^{2} = a$ , then $x = \sqrt{a}$ or $x = - \sqrt{a}$

Step 3 ：Applying this to our equation, we get two equations: $2 x - 3 = \sqrt{23}$ and $2 x - 3 = - \sqrt{23}$

Step 4 ：Solving these two equations for x, we get two solutions: $x = 3.8979157616563596$ and $x = - 0.8979157616563596$

Step 5 ：Final Answer: The solutions to the equation $(2 x - 3)^{2} = 23$ are $x = 3.8979157616563596$ and $x = - 0.8979157616563596$