Solve x^2-12x-8=0

Evaluate

x^{2} - 12 x - 8 = 0

Substitute a= 1,b= - 12 and c= - 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{12 \pm ( - 12 ) ^{2} - 4 ( - 8 )}{2}

Simplify the expression

More Steps

x = \frac{12 \pm 176}{2}

Simplify the radical expression

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x = \frac{12 \pm 4 11}{2}

Separate the equation into 2 possible cases

x = \frac{12 + 4 11}{2} x = \frac{12 - 4 11}{2}

Simplify the expression

More Steps

x = 6 + 211 x = \frac{12 - 4 11}{2}

Simplify the expression

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x = 6 + 211 x = 6 - 211

Solution

x_{1} = 6 - 211, x_{2} = 6 + 211

Alternative Form

x_{1} \approx - 0.63325, x_{2} \approx 12.63325

Solve the quadratic equation