The parabola \(f(x)=x^2\) intersects the graph of \( g(x) = x^4 + ax^3 -2x^2+ bx +1\) at four distinct points. These four points on a same circle of area 10. Given that \(b>0\), find the value of \(\lfloor{1000b}\rfloor\).

###### This problem is part of Curves... cut or touch?

×

Problem Loading...

Note Loading...

Set Loading...