h(x^4+1)=h(x^2+3)
how to prove that equation is x=+ - sqrt(2)
without graph please
Find the inverse of both sides: h-1( h( x4 + 1 ) ) = h-1( h( x2 + 3 ) )
---> x4 + 1 = x2 + 3
---> x4 - x2 - 2 = 0
---> (x2 - 2)(x2 + 1) = 0
---> x2 - 2 = 0 or x2 + 1 = 0
---> x = + sqrt(2), -sqrt(2), +sqrt(-1), -sqrt(-1)
