What are the solutions to the equation 5x^4+3x^2+x^2-x=0 ?

The solutions to the equation 5x^4+3x^2+x^2-x=0 are x=0,x\approx 0.23398…

Find the zeros of 5x^4+3x^2+x^2-x=0

The zeros of 5x^4+3x^2+x^2-x=0 are x=0,x\approx 0.23398…

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5 x^{4} + 3 x^{2} + x^{2} - x = 0

x = 0, x \approx 0.23398 \dots

Solution steps

5 x^{4} + 3 x^{2} + x^{2} - x = 0

Factor

5 x^{4} + 3 x^{2} + x^{2} - x : x (5 x^{3} + 4 x - 1)

x (5 x^{3} + 4 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x^{3} + 4 x - 1 = 0

Solve

5 x^{3} + 4 x - 1 = 0 : x \approx 0.23398 \dots

The solutions are

x = 0, x \approx 0.23398 \dots

x^{3} - 3 x = - 2

2 x^{4} + 7 x^{3} - 2 x^{2} - 19 x - 12 = 0

x^{4} + 4 x^{3} + 5 x^{2} + 4 x + 1 = 0

12 x^{3} - 9 x^{2} = 0

- x^{3} + 2 x^{2} + 6 x + 8 = 0

What are the solutions to the equation 5x^4+3x^2+x^2-x=0 ?
The solutions to the equation 5x^4+3x^2+x^2-x=0 are x=0,x\approx 0.23398…
Find the zeros of 5x^4+3x^2+x^2-x=0
The zeros of 5x^4+3x^2+x^2-x=0 are x=0,x\approx 0.23398…