SOLUTION: the difference between the square of a number is 35. four times the square of the first number increased by the square of the second number is 145. find the numbers

Question 830962: the difference between the square of a number is 35. four times the square of the first number increased by the square of the second number is 145. find the numbers
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Something is missing. Maybe you mean, "the difference between the squareS of TWO NUMBERS is 35. Four times the square of the first number increased by the square of the second number is 145. Find the numbers."

numbers, m and n.

and , but your wording on that is somewhat ambiguous.

First description gives
and
Second description gives .

Equate the two formulas for .

or
-
If assuming positive numbers, then , .
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