Apositive real number is 6 less than another. if the sum of the square of the two numbers is 38, then finds the numbers.

There seems to be a typo error but still this has solution.

Let the number be = x

A positive real number is 6 less than another. Means the second will be

The sum of the square of the two numbers is 38.

=>

=>

=>

=>

Taking out 2 common;

=>

Solving this quadratic equation, we get;

and

As positive number is needed, we have

or x =

x = 0.162277

And other number is 6.162277.

correct answer:

b.(19,-2)