Question

find the values of x if f(x)=g(x)
f(x)=x to the fourth - 2x to the 2nd
g(x)= 2x to the 2nd
please explain!!

Answer 1

set
\[x^4-2x^2=2x^2\]and solve for x

Answer 2

start with
\[x^4-4x^2=0\]
\[x^2(x^2-4)=0\]
\[x^2(x+2)(x-2)=0\]
\[x=0,x=-2,x=2\]

Answer 3

so you factor it twice? and its the opposite of the the 2s in the parenthesis?

Answer 4

yes factor all the way down

Answer 5

then set each factor = 0 and solve

Answer 6

ok thanks that helped a lot!