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Solve sqrt(a) + b = 7, sqrt(b) + a = 11

 Dec 27, 2019
 #1
avatar+100 
+1

a=9 and b=4

 Dec 27, 2019
 #2
avatar+2551 
+2

My strategy:

 

After analyzing the two equations, we can conclude that A and B must be perfect square integers.

 

As both of their square roots end up forming integers after being added by eachother.

 

So I would guess and check from there.

 

They both should be less than 121 because the largest integer in the equations is 11.

 

So I would guess all perfect squares from 1 to 121.

 

Not the best strategy...

CalculatorUser  Dec 28, 2019
edited by CalculatorUser  Dec 28, 2019
edited by CalculatorUser  Dec 28, 2019
edited by CalculatorUser  Dec 28, 2019
 #3
avatar+28354 
+2

Nothing wrong with your strategy CalculatorUser; though a graphical approach might help your guess and check part:

 

Alan  Dec 28, 2019

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