The two numbers are 10 and 5.2.
Quadratic equation
The power of x is 2 is called the Quadratic equation.
How to calculate the number?
Let the two numbers is x and y
\(\begin{aligned} \rm x + y &= 15.2\\xy &= 52 \\y &= \dfrac{52}{x} \\x+\dfrac{52}{x} &=15.2\\x^{2} + 52 &= 15.2x\\x^{2} -15.2x +52 &=0\\(x-10)(x-5.2) &=0\\x &= 10,5.2 \end{aligned}\)
Then the two numbers are 10 and 5.2.
More about the quadratic equation link is given below.
https://brainly.com/question/17177510