Solve 1-12-m m-m - ScanMath

Evaluate

1 - 12 - m \times m - m

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

1 - 12 - m \times m - m = 0

Multiply the terms

1 - 12 - m^{2} - m = 0

Subtract the numbers

- 11 - m^{2} - m = 0

Rewrite in standard form

- m^{2} - m - 11 = 0

Multiply both sides

m^{2} + m + 11 = 0

Substitute a= 1,b= 1 and c= 11 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{- 1 \pm 1 ^{2} - 4 \times 11}{2}

Simplify the expression

More Steps

m = \frac{- 1 \pm - 43}{2}

Simplify the radical expression

More Steps

m = \frac{- 1 \pm 43 \times i}{2}

Separate the equation into 2 possible cases

m = \frac{- 1 + 43 \times i}{2} m = \frac{- 1 - 43 \times i}{2}

Simplify the expression

More Steps

m = - \frac{1}{2} + \frac{43}{2} i m = \frac{- 1 - 43 \times i}{2}

Simplify the expression

More Steps

m = - \frac{1}{2} + \frac{43}{2} i m = - \frac{1}{2} - \frac{43}{2} i

Solution

m_{1} = - \frac{1}{2} - \frac{43}{2} i, m_{2} = - \frac{1}{2} + \frac{43}{2} i

Alternative Form

m_{1} \approx - 0.5 - 3.278719 i, m_{2} \approx - 0.5 + 3.278719 i

Simplify the expression