Waste less time on Facebook — follow Brilliant.
×

Is am-gm inequality useful here?

2 integers ( x and x+10). Find the 2 integers such that their product is at MINIMUM by using am-gm inequality.

Note by William Isoroku
10 months ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

I prefer not to approach this question with AM-GM Inequality. Let \(y = x(x+10)\), we can write it into the form of \(y = (x+5)^2-25\). Here, the value \(x\) such that \(y\) is a minimum is \(x = -5\) and \(y = -25\). The two integers is then -5 and 5. Kay Xspre · 10 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...