Solve x(x-1) - 1/3 = -x^4

Evaluate

x (x - 1) - \frac{1}{3} = - x^{4}

Move the expression to the left side

x (x - 1) - \frac{1}{3} - (- x^{4}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

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

Calculate

More Steps

x^{2} - x - \frac{1}{3} + x^{4} = 0

Factor the expression

\frac{1}{3} (3 x^{2} - 3 x - 1 + 3 x^{4}) = 0

Divide both sides

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

Calculate

x \approx 0.829949 x \approx - 0.284609 + 1.208056 i x \approx - 0.260731 x \approx - 0.284609 - 1.208056 i

Solution

x_{1} \approx - 0.284609 - 1.208056 i, x_{2} \approx - 0.260731, x_{3} \approx - 0.284609 + 1.208056 i, x_{4} \approx 0.829949

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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