Provide an appropriate response.A student says that the equation(x - 9)(x + 9) = 30 can be solved as follows: x - 9 = 5 or x + 9 = 6.If this is correct, explain why. If it is not correct, explain why and give the correct method.
What will be an ideal response?
This is not correct. The zero-factor property only works when the right side of the equation is zero. The left side of the equation must be expanded and -30 must be added to both sides of the equation in order to make the right side equal to zero. Then the left side may be factored and the zero-factor property applied.
Mathematics
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