12th grade
posted by shawn on .
factor completely
x^416=0

Assistance needed.
Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well. 
I would insist that by 12th grade you would recognize the difference of squares pattern.

Problem x4  16 = 0
FIRST. Make [x4  16] a perfect square.
Dive 16 by two and square that number, add to both sides.
x4 16 + 64 = 0 + 64
SECOND. Solve the equation.
(Simplify) → (x2  8)^2 this equal the left side of the equation.
so we have
(x2 8)^2 = 64
Then
Remove the square by taking the square root of 64.
x2  8 = positive or negative 8
And then find your answers. 
(x2)(x+2)(x^2+4)= 0
Giving the solutions
x= +2;2;2i;2i
(i being the imaginary unit)