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avatar+62 

Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.

 Mar 24, 2024
 #1
avatar+128794 
+1

2 =  [ b^2  - a^2 ] / [ b - a ]  =  [ (b - a) (b + a) ] / [b -a]  =   a + b 

 

cool cool cool

 Mar 24, 2024

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