Which two square numbers have a difference of 51?

Answer 1

Suppose the numbers are A2and B2Then A2- B2= 51

that is, (A + B)*(A - B) = 51

so A + B = 51 and A - B = 1 which gives A = 26 and B = 25

or A + B = 17 and A - B = 3 which gives A = 10 and B = 7

The square numbers are, therefore, (676, 625) or (100, 49)

Answer 2

Suppose the numbers are A2 and B2Then A2 - B2 = 51that is, (A + B)*(A - B) = 51so A + B = 51 and A - B = 1 which gives A = 26 and B = 25or A + B = 17 and A - B = 3 which gives A = 10 and B = 7

The square numbers are, therefore, (676, 625) or (100, 49)

Answer 3

They are 100 minus 49 = 51

Answer 4

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Answer 5

Okay

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Answer 6

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