SOLUTION: Can you help me with finding the zeros of (3/4)x^4-3x^2=0

Algebra ->  College  -> Linear Algebra -> SOLUTION: Can you help me with finding the zeros of (3/4)x^4-3x^2=0       Log On


   

Question 685898: Can you help me with finding the zeros of (3/4)x^4-3x^2=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%283%2F4%29x%5E4-3x%5E2=0
3x%5E4%2F4-3x%5E2=0
x%5E2%28x%5E2%2F4-3%29=0
x%5E2%28x%5E2%2F4-3%2A4%2F4%29=0
x%5E2%28x%5E2%2F4-12%2F4%29=0
x%5E2%28%28x%5E2-12%29%2F4%29=0
%28x%5E2%2F4%29%28x%5E2-12%29=0
solutions:
if x%5E2%2F4=0.....=>x%5E2=0%2A4....=>x%5E2=0...=>x=0
so, first and second solutions are x=0
if x%5E2-12=0.....=>... x%5E2=12..=>... x=sqrt%2812%29=>... x=3.46 or x=-3.46
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2%28x%5E2%2F4-3%29%29+