Solve (2-x)^2=x^5

Evaluate

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

Expand the expression

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

Move the expression to the left side

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

Factor the expression

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

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

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

Solve the equation

x = 1 x \in / R

Solution

x = 1

Solve the equation