Answer:
10 and 19
Step-by-step explanation:
- In Algebra, an even number = 2x, because anything multiplied by 2 is even.
- There are two numbers in the question, I'll define the first one as 2x
- the other number is 1 less than twice of the first, so I'm going to define it <u>in algebra as 2(2x) - 1</u>, which is just 4x - 1
- the square of the first is
- the square of the second is
- add them together:
- this equation = 461, so
- simplify to
- I wont explain how to solve this here, since it is very complicated, if you don't know search up solving quadratics.
- the <u>solutions are 5 or -4.6</u>, it cannot be -4.6 since the question says positive, so the solution for <u>x = 5</u>
- substitute x into our equations for the two numbers in steps 1 and 2
- the <u>first number = 10, the second = 19</u>