Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
+1
1429
3
avatar+612 

Three consecutive positive odd integers $a$, $b$ and $c$ satisfy $b^2 - a^2 = 344$ and $c^2 - b^2 > 0$. What is the value of $c^2 - b^2$?

 Apr 12, 2018

Best Answer 

 #1
avatar+118696 
+4

Three consecutive positive odd integers $a$, $b$ and $c$ satisfy $b^2 - a^2 = 344$ and $c^2 - b^2 > 0$. What is the value of $c^2 - b^2$?

 

b-2, b,  b+2        where a is odd

 

b2(b2)2=344b2b2+4b4=3444b4=344b1=86b=87

 

a=85

b=87

c=89

 

89^2-87^2   = 352

 Apr 13, 2018
 #1
avatar+118696 
+4
Best Answer

Three consecutive positive odd integers $a$, $b$ and $c$ satisfy $b^2 - a^2 = 344$ and $c^2 - b^2 > 0$. What is the value of $c^2 - b^2$?

 

b-2, b,  b+2        where a is odd

 

b2(b2)2=344b2b2+4b4=3444b4=344b1=86b=87

 

a=85

b=87

c=89

 

89^2-87^2   = 352

Melody Apr 13, 2018
 #2
avatar+130466 
+2

Nice, Melody   !!!!

 

 

cool cool cool

CPhill  Apr 13, 2018
 #3
avatar+612 
+2

Thank you!

gueesstt  Apr 13, 2018

1 Online Users

avatar