Posted by Theresse on Saturday, September 29, 2012 at 2:39pm.
in solving the equation (x +2)(x  2) = 32 eric stated the solution to be x + 2 = 32 => x = 30 or x 2 = 32 => x = 34. however at least one of these solutions fails to work when plugged back into the equation. why is that? please help eric to understand the problem better; solve the problem yourself and explain your reasoning.
i tried using foil that doesnt appear to work

algebra  Steve, Saturday, September 29, 2012 at 4:05pm
knowing the product of two numbers does not tell you anything about what the numbers are, unless the product is zero.
If the product is zero, then at least one of the numbers must be zero.
(x +2)(x  2) = 32
x^2  4 = 32
x^2  36 = 0
(x6)(x+6) = 0
Now you have two numbers whose product is zero. So, x must be 6 or 6.
Answer This Question
Related Questions
 Algebra  In solving the equation (x + 3)(x + 1) = 48, Eric stated that the ...
 algebra  1. In solving the equation (x + 3)(x + 1) = 48, Eric stated that the ...
 intermediate algebra  In solving the equation (x1)(x+2)=30. Eric stated that ...
 math  In solving the equation (x + 4)(x – 7) = 18, Eric stated that the ...
 algbera  In solving the equation (x + 3)(x + 1) = 48, Eric stated that the ...
 South  In solving the equation (x + 1)(x – 2) = 54, Eric stated that the ...
 intermediate algebra  in solving the equation (x+4)(x4)=9 eric stated the ...
 algebra  solving the equation (x+4)(x4)=9 Eric stated that the solution would ...
 Math  I don't understand how to solve this problem: In solving the equation (x...
 Math  In solving the eqaution(x+4)(x4),Eric stated thatthe solution would be x...
More Related Questions