Question 855114

The product of two consecutive even numbers is 24. Find both pairs of numbers. Only an algebraic solution will be accepted.
<pre>
Let smaller of 2 numbers be S
Then larger = S + 2
Therefore, S(S + 2) = 24
{{{S^2 + 2S - 24 = 0}}}


Solve the quadratic for the 2 numbers. You should get smaller and larger being:
{{{highlight_green(- 6_and_- 4)}}} or {{{highlight_green(4_and_6)}}}
 
You can do the check!! 

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