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?

Mathematics

1 answer:

Sever21 [200]4 years ago

6 0

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

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We have the given differential equation: y′′+4y=5xcos(2x)

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