Solve M-M^2-0-4 - ScanMath

Evaluate

M - M^{2} - 0 - 4

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

M - M^{2} - 0 - 4 = 0

Removing 0 doesn't change the value,so remove it from the expression

M - M^{2} - 4 = 0

Rewrite in standard form

- M^{2} + M - 4 = 0

Multiply both sides

M^{2} - M + 4 = 0

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

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

Simplify the expression

More Steps

M = \frac{1 \pm - 15}{2}

Simplify the radical expression

More Steps

M = \frac{1 \pm 15 \times i}{2}

Separate the equation into 2 possible cases

M = \frac{1 + 15 \times i}{2} M = \frac{1 - 15 \times i}{2}

Simplify the expression

M = \frac{1}{2} + \frac{15}{2} i M = \frac{1 - 15 \times i}{2}

Simplify the expression

M = \frac{1}{2} + \frac{15}{2} i M = \frac{1}{2} - \frac{15}{2} i

Solution

M_{1} = \frac{1}{2} - \frac{15}{2} i, M_{2} = \frac{1}{2} + \frac{15}{2} i

Alternative Form

M_{1} \approx 0.5 - 1.936492 i, M_{2} \approx 0.5 + 1.936492 i

Simplify the expression