Difference between revisions of "2020 AMC 10B Problems/Problem 24"

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==Solution==
 
==Solution==
 
Wolfram Alpha shows that there must be <math>6</math> solutions: <math>n=400, 470, 2290, 2360, 2430, 2500</math>
 
Wolfram Alpha shows that there must be <math>6</math> solutions: <math>n=400, 470, 2290, 2360, 2430, 2500</math>
 +
That doesn't count. -QuadraticFunctions
  
 
==See Also==  
 
==See Also==  

Revision as of 21:07, 7 February 2020

Problem

How many positive integers $n$ satisfy\[\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor?\](Recall that $\lfloor x\rfloor$ is the greatest integer not exceeding $x$.)

$\textbf{(A) } 2 \qquad\textbf{(B) } 4 \qquad\textbf{(C) } 6 \qquad\textbf{(D) } 30 \qquad\textbf{(E) } 32$

Solution

Solution

Wolfram Alpha shows that there must be $6$ solutions: $n=400, 470, 2290, 2360, 2430, 2500$ That doesn't count. -QuadraticFunctions

See Also

2020 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 23
Followed by
Problem 25
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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