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mestny [16]
3 years ago
10

The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the seco

nd number is 97 find the numbers
Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2  + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting  for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

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