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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