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

Question

2 years ago

10

nd number is 97 find the numbers

1 answer:

jeyben [28] · Answer 1 · 2022-02-28T08:47:10+03:00

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.