Solve q^2 - 12q - 17 = 0

Evaluate

q^{2} - 12 q - 17 = 0

Substitute a= 1,b= - 12 and c= - 17 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{12 \pm ( - 12 ) ^{2} - 4 ( - 17 )}{2}

Simplify the expression

More Steps

q = \frac{12 \pm 212}{2}

Simplify the radical expression

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q = \frac{12 \pm 2 53}{2}

Separate the equation into 2 possible cases

q = \frac{12 + 2 53}{2} q = \frac{12 - 2 53}{2}

Simplify the expression

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q = 6 + 53 q = \frac{12 - 2 53}{2}

Simplify the expression

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q = 6 + 53 q = 6 - 53

Solution

q_{1} = 6 - 53, q_{2} = 6 + 53

Alternative Form

q_{1} \approx - 1.28011, q_{2} \approx 13.28011

Solve the quadratic equation