bobbiwasabi007 bobbiwasabi007

14-08-2020
Mathematics

contestada

The quadratic $10x^2+100x+1000$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?

Respuesta :

Alfpfeu Alfpfeu

17-08-2020

Answer:

765

Step-by-step explanation:

Hello, please consider the following.

[tex]10x^2+100x+1000=10(x^2+10x+100)\\\\=10((x+5)^2-25+100)\\\\=10(x+5)^2+750[/tex]

So, a = 10, b = 5, c = 750 and the sum is 765.

Thank you

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