SOLUTION: Solve the equation using factoring techniques 25x^4(fourth power)-401x^2(second power)+16=0

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Question 646102: Solve the equation using factoring techniques
25x^4(fourth power)-401x^2(second power)+16=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
25x%5E4-401x%5E2%2B16=0......replace -401x%5E2 with -x%5E2-400x%5E2
25x%5E4-x%5E2-400x%5E2%2B16=0
25x%5E4-400x%5E2+-x%5E2+%2B16=0.....group
%2825x%5E4-400x%5E2%29+-%28x%5E2+-16%29=0
25x%5E2%28x%5E2-16%29+-%28x%5E2+-16%29=0
%28x%5E2-16%29%2825x%5E2-1%29=0
%28x%5E2-4%5E2%29%28%285x%29%5E2-1%29=0
%28x-4%29%28x%2B4%29%285x-1%29%285x%2B1%29=0
solutions:
if
%28x-4%29=0.......=>...x=4
if
%28x%2B4%29=0.......=>...x=-4
if
%285x-1%29=0.......=>...5x=1=>...x=1%2F5
if
%285x%2B1%29=0.......=>...5x=-1=>...x=-1%2F5