Solve m^2 - 10m 18 = 2

Evaluate

m^{2} - 10 m \times 18 = 2

Multiply the terms

m^{2} - 180 m = 2

Move the expression to the left side

m^{2} - 180 m - 2 = 0

Substitute a= 1,b= - 180 and c= - 2 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{180 \pm ( - 180 ) ^{2} - 4 ( - 2 )}{2}

Simplify the expression

More Steps

m = \frac{180 \pm 32408}{2}

Simplify the radical expression

More Steps

m = \frac{180 \pm 2 8102}{2}

Separate the equation into 2 possible cases

m = \frac{180 + 2 8102}{2} m = \frac{180 - 2 8102}{2}

Simplify the expression

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m = 90 + 8102 m = \frac{180 - 2 8102}{2}

Simplify the expression

More Steps

m = 90 + 8102 m = 90 - 8102

Solution

m_{1} = 90 - 8102, m_{2} = 90 + 8102

Alternative Form

m_{1} \approx - 0.01111, m_{2} \approx 180.01111

Solve the quadratic equation