# How do I find all intersection points of #f(x)=ax^4# and #g(x)=bx^2# where a,b > 0?

##### 2 Answers

Solve

#### Explanation:

Solutions

#### Explanation:

To find intersection points, we just set the two functions equal to each other and solve the equation:

Firstly, we can quite quickly see that

To find the other solutions, we first divide through by

Next we divide through by

We can then take the square roots of both sides to get our solution:

Since we know both

I've also made this graph in which you can play around with

https://www.desmos.com/calculator/ziku0su5wn