Difference between revisions of "1976 AHSME Problems/Problem 2"
(Created page with "== Problem 2 == For how many real numbers <math>x</math> is <math>\sqrt{-(x+1)^2}</math> a real number? <math>\textbf{(A) }\text{none}\qquad \textbf{(B) }\text{one}\qquad \te...") |
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==Solution== | ==Solution== | ||
− | + | <math>\sqrt{-(x+1)^2}</math> is a real number, if and only if <math>-(x+1)^2</math> is nonnegative. Since <math>(x+1)^2</math> is always nonnegative, <math>-(x+1)^2</math> is nonnegative only when <math>-(x+1)^2=0</math>, or when <math>x=-1 \Rightarrow \textbf{(B)}</math>. | |
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+ | ==1976 AHSME Problems== | ||
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+ | {{AHSME box|year=1976|before=[[1975 AHSME]]|after=[[1977 AHSME]]}} |
Revision as of 18:53, 12 July 2020
Problem 2
For how many real numbers is a real number?
Solution
is a real number, if and only if is nonnegative. Since is always nonnegative, is nonnegative only when , or when .
1976 AHSME Problems
1976 AHSME (Problems • Answer Key • Resources) | ||
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