How to solve the equation 4x^4 + 5x^3 + 2x^2 + 5x + 4=0?

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When you graph the equation, it hits -1 twice on the x axis; therefore, -1 is a root.

-1 / 4 5 2 5 4

4 1 1 4 0 use synthetic division

-1/ 4 1 1 4

4 -3 4 0 you get 4x^2-3x + 4 now use the quadratic...

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When you graph the equation, it hits -1 twice on the x axis; therefore, -1 is a root.

-1 / 4 5 2 5 4

4 1 1 4 0 use synthetic division

-1/ 4 1 1 4

4 -3 4 0 you get 4x^2-3x + 4 now use the quadratic equation

3 +- square root of 9 - 4(4)(4) all over 2(4)

3+- square root of -55 all over 8

Final answer: 3 +- i squareroot 55 all over 8

 

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