x + y = 15.2
x X y = 52
x = 15.2 - y
15.2 - y X y = 52
y X y = 36.8
y^2 = 36.8
y = squareroot 36.8
y = 6.06
x + 6.06 = 15.2
x =9.14
9.14 + 6.06 = 15.2
9.14 X 6.06 =55.4
sorry that's the closest I could get to the answer
The two numbers are 10 and 5.2.
The power of x is 2 is called the Quadratic equation.
Let the two numbers is x and y
[tex]\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}[/tex]
Then the two numbers are 10 and 5.2.
More about the quadratic equation link is given below.
https://brainly.com/question/17177510