SOLUTION: In solving the equation (x – 1)(x – 2) = 30, Eric stated that the solution would be
x – 1 = 30 => x = 31
or
(x – 2) = 30 => x = 32
However, at least one of these solutions fail
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-> SOLUTION: In solving the equation (x – 1)(x – 2) = 30, Eric stated that the solution would be
x – 1 = 30 => x = 31
or
(x – 2) = 30 => x = 32
However, at least one of these solutions fail
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Question 548394: In solving the equation (x – 1)(x – 2) = 30, Eric stated that the solution would be
x – 1 = 30 => x = 31
or
(x – 2) = 30 => x = 32
However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning. Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Eric's assumption was incorrect!
He should have done the following: Multiply the two factors on the left. Now subtract 30 from both sides. Solve the quadratic equation by factoring. Apply the zero product rule. or so that... or
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