A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49. Find the numbers

The numbers are

  and

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

----> equation B

substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

so

The positive real number is

Find the value of y

529 and 531

step-by-step explanation: