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

The solutions to the equation -x^4+x^3+3x=0 are x=0,x\approx 1.86370…

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

The zeros of -x^4+x^3+3x=0 are x=0,x\approx 1.86370…

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

x = 0, x \approx 1.86370 \dots

Solution steps

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

Factor

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

- x (x^{3} - x^{2} - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} - x^{2} - 3 = 0

Solve

x^{3} - x^{2} - 3 = 0 : x \approx 1.86370 \dots

The solutions are

x = 0, x \approx 1.86370 \dots

x^{4} + x^{3} + 2 x^{2} - x = 4.1151

x, y^{2} = C x^{3} - 1

x^{3} + 2 x^{2} - 23 x - 60 = 0

(2 x - 1)^{5} = x^{5}

x^{3} - 12 x^{2} + 60 x - 128 = 0

What are the solutions to the equation -x^4+x^3+3x=0 ?
The solutions to the equation -x^4+x^3+3x=0 are x=0,x\approx 1.86370…
Find the zeros of -x^4+x^3+3x=0
The zeros of -x^4+x^3+3x=0 are x=0,x\approx 1.86370…