This is a simple word problem that I just can't wrap my head around. The answers are 7 and 9:(adsbygoogle = window.adsbygoogle || []).push({});

The sum of two numbers is 16, but the sum of their squares is 130. Find the numbers.

I am supposed to use a quadratic equation as a means to solve the question, and all I need to do is to create an equation to get started. Thing is, I've got no idea what to use. Well I had one but it was horribly wrong.

Here's how I reached the wrong answer:

2n^2 + 2n = 130 + 16

2n^2 + 2n - 146 = 0

Then I just used the quadratic formula to find the set of numbers which were wayy off. I'm sure the equation simply isn't right but I don't know how to set up the right one. This is where I get frustrated, because it seems like the answer should be jumping out at me.. but it's not.

If anyone knows of an easy way to tackle these type of problems I would greatly appreciate the help.

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# Homework Help: Word problem solved by applying a quadratic equation

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