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natima [27]
3 years ago
5

When you subtract one square number from another the answer is 7 what are the two numbers?

Mathematics
2 answers:
Anna007 [38]3 years ago
5 0
Let x be first number and y- second number. <span>When you subtract first square number from second you get y^2-x^2 and it is equal to 7.
</span>
Hence
y^2-x^2=7.

Find factors of right and left sides:(y-x)(y+x)=1\cdot 7.

Since y+x\ \textgreater \ y-x you have that  
\left \{ {{y-x=1} \atop {y+x=7}} \right..
Add these equations: 
y-x+y+x=1+7, \\ 2y=8, \\ y=4.
Then x=7-y=7-4=3.
Answer: 4^2-3^2=7.
<span /><span />
Volgvan3 years ago
4 0
You can get seven from substracting 16 and 9. We know that 16 = 4² and 9 = 3², so what you're looking for is 4² - 3² = 7.

I hope it will help you :-)
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