Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 14, 2011"
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| + | We multiply both sides by <math>x+1</math> so that the equation is: | ||
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| + | <math>\sqrt{x^2+7x+6} = \sqrt{7x+15}</math> | ||
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| + | Squaring both sides and simplifying, we get: | ||
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| + | <math>x^2 = 9</math> | ||
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| + | The solutions to this equation are <math>\pm3</math>. However, we plug in <math>-3</math> in the original equation and find that there is an imaginary number in the expression. So the answer is <math>\framebox{3}</math>. | ||
Revision as of 20:48, 13 June 2011
Problem
AoPSWiki:Problem of the Day/June 14, 2011
Solution
This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.
We multiply both sides by 
so that the equation is:
Squaring both sides and simplifying, we get:
The solutions to this equation are 
. However, we plug in 
in the original equation and find that there is an imaginary number in the expression. So the answer is 
.
