Solve x-1 (x-1)^2

Evaluate

x - 1 \times (x - 1)^{2}

To find the roots of the expression,set the expression equal to 0

x - 1 \times (x - 1)^{2} = 0

Multiply the terms

x - (x - 1)^{2} = 0

Calculate

More Steps

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

Rewrite in standard form

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

Multiply both sides

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

Substitute a= 1,b= - 3 and c= 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4}{2}

Simplify the expression

More Steps

x = \frac{3 \pm 5}{2}

Separate the equation into 2 possible cases

x = \frac{3 + 5}{2} x = \frac{3 - 5}{2}

Solution

x_{1} = \frac{3 - 5}{2}, x_{2} = \frac{3 + 5}{2}

Alternative Form

x_{1} \approx 0.381966, x_{2} \approx 2.618034

Simplify the expression