Solve x-1 x x-1 - ScanMath

Evaluate

x - 1 \times x \times x - 1

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

x - 1 \times x \times x - 1 = 0

Multiply the terms

More Steps

x - x^{2} - 1 = 0

Rewrite in standard form

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

Multiply both sides

x^{2} - x + 1 = 0

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

x = \frac{1 \pm ( - 1 ) ^{2} - 4}{2}

Simplify the expression

More Steps

x = \frac{1 \pm - 3}{2}

Simplify the radical expression

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x = \frac{1 \pm 3 \times i}{2}

Separate the equation into 2 possible cases

x = \frac{1 + 3 \times i}{2} x = \frac{1 - 3 \times i}{2}

Simplify the expression

x = \frac{1}{2} + \frac{3}{2} i x = \frac{1 - 3 \times i}{2}

Simplify the expression

x = \frac{1}{2} + \frac{3}{2} i x = \frac{1}{2} - \frac{3}{2} i

Solution

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

Alternative Form

x_{1} \approx 0.5 - 0.866025 i, x_{2} \approx 0.5 + 0.866025 i

Simplify the expression