SOLUTION: given f(x) = ax^2 + bx + 5. Find a and b such that f(x + 1) - f(x) = 8x + 3
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Question 212341: given f(x) = ax^2 + bx + 5. Find a and b such that f(x + 1) - f(x) = 8x + 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since , this means that .
Or simply
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Start with the given equation.
Plug in and
Distribute
Combine like terms.
So we then get that which means or
Also, we find that . Plug in to get and solve to get
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