natethegreat951 natethegreat951

22-06-2018
Mathematics

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WILL MARK BRAINLIEST 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?

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LammettHash LammettHash

23-06-2018

[tex]10x^2+100x+1000=10(x^2+10x+100)[/tex]
[tex]=10(x^2+10x+25+75)[/tex]
[tex]=10((x+5)^2+75)[/tex]
[tex]=10(x+5)^2+750[/tex]
[tex]\implies a=10,b=5,c=750[/tex]
[tex]\implies a+b+c=765[/tex]

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