How to find the intersection point of positive proportion function and inverse proportion function? Why is it a quadratic equation of one variable when it is listed?

How to find the intersection point of positive proportion function and inverse proportion function? Why is it a quadratic equation of one variable when it is listed?

For example, find the intersection coordinates of the positive scale function y = 2x and the inverse scale function y = 7
Then:
y=2x
y=7/x
Set up equations,
2x=7/x
x^2=7/2
X = √ 14 / 2 or x = - √ 14 / 2
The intersection coordinates of positive scale function y = 2x and inverse scale function y = 7 / X (√ 14 / 2, √ 14) or (- √ 14 / 2, √ 14)
This process is a quadratic equation of one variable
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