Solve 1-m^2-m - ScanMath

Evaluate

1 - m^{2} - m

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

1 - m^{2} - m = 0

Rewrite in standard form

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

Multiply both sides

m^{2} + m - 1 = 0

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

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

Simplify the expression

More Steps

m = \frac{- 1 \pm 5}{2}

Separate the equation into 2 possible cases

m = \frac{- 1 + 5}{2} m = \frac{- 1 - 5}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

m = \frac{- 1 + 5}{2} m = - \frac{1 + 5}{2}

Solution

m_{1} = - \frac{1 + 5}{2}, m_{2} = \frac{- 1 + 5}{2}

Alternative Form

m_{1} \approx - 1.618034, m_{2} \approx 0.618034

Find the roots