It is known that the positive scaling function y = 4x and the inverse scaling function y = K / X When k is a value, the images of the two functions have two intersections? When k is a value, the images of the two functions have no intersection? Explain the reason,

It is known that the positive scaling function y = 4x and the inverse scaling function y = K / X When k is a value, the images of the two functions have two intersections? When k is a value, the images of the two functions have no intersection? Explain the reason,

From {y = 4x
y=k/x,
We get 4x = K / X,
Multiply both sides by X to get
4x²=k
x²=k/4
When k > 0, the equation has two unequal real roots, and the images of the two functions have two intersections;
When k < 0, the equation has no real root, and the graph of the two functions has no intersection