SOLUTION: Solve the following equation 3x^4-2x^2-16 I broke it down, but I couldn't solve it.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the following equation 3x^4-2x^2-16 I broke it down, but I couldn't solve it.       Log On


   

Question 1067525: Solve the following equation
3x^4-2x^2-16
I broke it down, but I couldn't solve it.
Found 2 solutions by stanbon, math_helper:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The way you posted it, it is not an equation.
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Solve the following equation
3x^4-2x^2-16
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3x^4 - 8x^2+6x^2 - 16
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x^2(3x^2-8)+2(3x^2-8)
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= (3x^2-8)(x^2+2)
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Cheers,
Stan H.
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Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E4+-+2x%5E2+-+16+=+0+
++%28x%5E2+%2B+2%29%283x%5E2+-+8%29+=+0+
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Solutions are:
++x%5E2%2B2+=+0+ and +3x%5E2+-+8+=+0+
+x%5E2%2B2+=+0 —> x%5E2+=+-2+ —> +x+=+0+%2B-+sqrt%282%29i+ (imaginary numbers)
+3x%5E2+-+8+=+0 —> +3x%5E2+=+8+ —> +x+=+0+%2B-+sqrt%288%2F3%29+
( I had to place a 0 +- in there to get the format to work for plus/minus )