Solve x^2-x+2 - ScanMath

Evaluate

x^{2} - x + 2

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

x^{2} - x + 2 = 0

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

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

Simplify the expression

More Steps

x = \frac{1 \pm - 7}{2}

Simplify the radical expression

More Steps

x = \frac{1 \pm 7 \times i}{2}

Separate the equation into 2 possible cases

x = \frac{1 + 7 \times i}{2} x = \frac{1 - 7 \times i}{2}

Simplify the expression

x = \frac{1}{2} + \frac{7}{2} i x = \frac{1 - 7 \times i}{2}

Simplify the expression

x = \frac{1}{2} + \frac{7}{2} i x = \frac{1}{2} - \frac{7}{2} i

Solution

x_{1} = \frac{1}{2} - \frac{7}{2} i, x_{2} = \frac{1}{2} + \frac{7}{2} i

Alternative Form

x_{1} \approx 0.5 - 1.322876 i, x_{2} \approx 0.5 + 1.322876 i

Find the roots