SOLUTION: please help me with this equation---7x^4-6x^2-1=0

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Question 62877: please help me with this equation---7x^4-6x^2-1=0









Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
7x^4-6x^2-1=0
7x^4-7x^2+1x^2-1=0
(7x^4-7x^2)+(1x^2-1)=0
7x^2(x^2-1)+1(x^2-1)=0
(x^2-1)(7x^2+1)=0
(x+1)(x-1)(7x^2+1)=0
The real soltutions are:
x+1=0 and x-1=0
x+1-1=0-1 and x-1+1=0+1
highlight%28x=-1%29 and highlight%28x=1%29
If you are also supposed to find the complex solution:
7x^2+1=0
7x^2+1-1=0-1
7x^2=-1
7x^2/7=-1/7
x^2=-1/7
sqrt%28x%5E2%29=%2B-sqrt%28-1%2F7%29
x=%2B-i%2Fsqrt%287%29
highlight%28x=%2B-i%2Asqrt%287%29%2F7%29
If you've never heard of complex solutions and imaginary numbers ignore the last one, 7x^2+1 is prime and will not yeild a real soltuion so you can ignore it if you aren't using complex numbers yet.
:
Happy Calculating!!!