Zero this, part 3
Algebra
Level
3
Consider the function for all real .
How many zeroes does it have?
1
0
3
2
4
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1 solution
Factoring the given equation yields ( ( x + 1 / 2 ) 2 + 3 / 4 ) × ( ( x + 1 ) 2 + 2 )
So you have a term that's always positive multiplied by a second term that's always positive. This can never yield a result of zero.