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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1956 AMC 12/AHSME
42
42
Part of
1956 AMC 12/AHSME
Problems
(1)
Radical Equation
Source:
2/15/2009
The equation \sqrt {x \plus{} 4} \minus{} \sqrt {x \minus{} 3} \plus{} 1 \equal{} 0 has:
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no root
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one real root
<span class='latex-bold'>(A)</span>\ \text{no root} \qquad<span class='latex-bold'>(B)</span>\ \text{one real root}
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no root
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B
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one real root
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C
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one real root and one imaginary root
<span class='latex-bold'>(C)</span>\ \text{one real root and one imaginary root}
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C
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one real root and one imaginary root
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D
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two imaginary roots
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E
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two real roots
<span class='latex-bold'>(D)</span>\ \text{two imaginary roots} \qquad<span class='latex-bold'>(E)</span>\ \text{two real roots}
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D
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two imaginary roots
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E
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two real roots