Solve x^4 =(x-2)2

Evaluate

x^{4} = (x - 2) \times 2

Multiply the terms

x^{4} = 2 (x - 2)

Expand the expression

More Steps

x^{4} = 2 x - 4

Move the expression to the left side

x^{4} - (2 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^{4} - 2 x + 4 = 0

Calculate

x \approx 1.014838 - 0.732944 i x \approx 1.014838 + 0.732944 i x \approx - 1.014838 - 1.233931 i x \approx - 1.014838 + 1.233931 i

Solution

x_{1} \approx - 1.014838 + 1.233931 i, x_{2} \approx - 1.014838 - 1.233931 i, x_{3} \approx 1.014838 + 0.732944 i, x_{4} \approx 1.014838 - 0.732944 i

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph