+0  
 
0
62
2
avatar

Real numbers a and b satisfy

a + ab = 250

a - ab = -240

Enter all possible values of a, separated by commas.

 May 26, 2023
 #1
avatar
-1

The possible values of a are -1 and 8.

 May 27, 2023
 #2
avatar+14952 
+1

a + ab = 250

a - ab = -240

Enter all possible values

 

Hello Guest!

 

\(a + ab = 250\\ a=\frac{250}{1+b}\\ a - ab = -240\\ \frac{250}{1+b}-\frac{250b}{1+b}=-240\\ 250-250b=-240(1+b)\\ -250b+240b=-240-250\\ -10b=-490\\ \color{blue}b=49\\ a=\frac{250}{1+49}\\ \color{blue}a=5\)

laugh  !

 May 27, 2023

3 Online Users

avatar