Solve application problems using quadratic equations. A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers.

Hello, let's note a this positive real number.

The sum of the square is

right?

So, we need to solve

We will develop, simplify.

Let's do it!

Now, we can use several methods to move forward. Let's complete the square.

So,

As a should be positive, the solution is

and the other number is

Thank you.

i think it is 18

step-by-step explanation:

yes

step-by-step explanation:

yes