+0  
 
0
13
1
avatar+819 

Let a and b be the solutions to 7x^2 + x - 5 = 2x^2 - 3x + 1.  Compute (a - 4) + (b - 4).

 Nov 11, 2023
 #1
avatar+10 
0

Combining like terms, we get the equation:

 

\(5x^2+4x-6=0\)

 

Vieta's formulas states that the sum of roots for a quadratic ax^2+bx+c is -b/a. Therefore, the sum of the roots for this equation is -4/5. Since the prom is asking for a+b-8, the answer is -44/5.

 Nov 11, 2023

3 Online Users

avatar
avatar
avatar