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