12th grade
posted by shawn .
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)
Respond to this Question
Similar Questions

Factor completely
I am to factor this completely and I am stuck. 2r^3 + 8r^2 +6r Note: x^2 is xsquared (that is, x with the superscript 2), etc. 2 is a factor and r is a factor so the equation becomes 2r(r^2 + 4r + 3) then we can factor the term in … 
12th grade Math?
How would you factor 3x^34x^2+4x1? P.S. Factor theorem does not work here. 
7th grade PreAlgebra
Factor each number completely 110 480 I don't know how to do factor tree's, they're tricky, :\ Please help 
12th grade
Simplify completely: 3(49)+62(8+5) 
12th grade
There are 300 students in 12th grade. What is the total population of the school? 
12th grade life orientation
identify 1 enviromental or human factor that causes ill health,accident,crises within south africa 
12th grade
which of the following results in the graph of f(x)=xto the second powwer being expanded vertically by a factor of 3 and reflected over the x axis a.f(x)=(1/3)x^2 b.f(x)=3x^2 c.F(X)=(1/x^2)+3 d.f(x)=(1/3)x^2 
12th grade  Math
Explain. 1.) To solve x(x5)=0 either factor may be equal to zero. 2.)  815i  = 17 3.) The solution for x^2 = 2 cannot be found graphically. [any help or explanation is greatly appreciated] 
math
I need help with these two problems please. Completely factor the polynomial. 8x^3+16^2+8x+16 Factor the trinomial completely. y^314y^2+48y 
Algebra
Factor each completely; 3n^2+21n 6n^2+18n not quite sure how to factor completely on problems with that format.