Question

Find the area bounded by the curves y=6x-x² and y=x²-2x

Answer 1

y=6x-x²

y=x²-2x

y=y

6x-x²=x²-2x

x(6-x)=x(x-2)

6-x=x-2

6+2=x+x

8=2x

8/2=x

4=x

x=4

y=6x-x²

y=6(4)-4²

y=24-16

y=8