sum of the squares of two numbers equals 25,write this in equation form
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Answered by
1
Answer:
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Step-by-step explanation:
Let te numbers be x and y
therefore we have x+y=25 ...(1)
which gives us x2+y2+2xy=625 ...(2)
and we also have x2+y2=313 ...(3)
Subtracting (3) from (2), we get 2xy=312 ...(4)
and (4) from (3) we get
x2+y2−2xy=1 ...(5)
i.e. x−y=1 ...(6)
Slolving for x and y from (1) and (6), we get
x=13 and y=12
Note:we can also have x−y=−1, which gives x=12 and y=13
Answered by
0
Answer:
Let te numbers be x and y
therefore we have x+y=25 ...(1)
which gives us x2+y2+2xy=625 ...(2)
and we also have x2+y2=313 ...(3)
Subtracting (3) from (2), we get 2xy=312 ...(4)
and (4) from (3) we get
x2+y2−2xy=1 ...(5)
i.e. x−y=1 ...(6)
Slolving for x and y from (1) and (6), we get
x=13 and y=12
Note:we can also have x−y=−1, which gives x=12 and y=13
Step-by-step explanation:
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