4 - = 8x^2 40 32 What is the positive solution to the given equation?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
40 Choice A is correct. Adding to both sides of the given equation yields 8 2=72 2=9 x . Dividing both sides of this equation by 8 yields x . Taking the = =- square root of both sides of this equation yields x 3 or x 3. Therefore, the positive solution to the given equation is 3. 8 =32 Choice B is incorrect. This is the solution to the equation x , not the given 8 -40=32 equation. Choice C is incorrect. This is the solution to the equation x , not the given equation. Choice D is incorrect. This is the solution to the equation -40=32 x , not the given equation.
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