SOLUTION: Please help me to solve the equation: 4x^4+3x^2+9=0 factorize it using middle term split method

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Question 976041: Please help me to solve the equation: 4x^4+3x^2+9=0 factorize it using middle term split method
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
What is that method? The polynomial looks like might be a square expression, but hard to know just by looking.

%282x%5E2%2B3%29%282x%5E2%2B3%29=4x%5E4%2B6x%5E2%2B6x%5E2%2B9-----that's not it;

%282x%5E2%2B1%29%282x%5E2%2B3%29
...2x%5E2%2B6x%5E2...
...8x%5E2...
That is not it either.

%284x%5E2%2B3%29%28x%5E2%2B1%29=4x%5E4%2B3x%5E2%2B4x%5E2%2B3------does not give what you want.

Jumping right to general solution method for "quadratic",
discrim is 9-4%2A4%2A9%3C0, so no real solution for the x%5E2.

A quick check of the graph for y=4x%5E4%2B3x%5E2%2B9 using software shows no roots, or no real roots. Your left side member IS NOT factorable for real numbers.