Solve q^2 - 28q - 37 = 0

Evaluate

q^{2} - 28 q - 37 = 0

Substitute a= 1,b= - 28 and c= - 37 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{28 \pm ( - 28 ) ^{2} - 4 ( - 37 )}{2}

Simplify the expression

More Steps

q = \frac{28 \pm 932}{2}

Simplify the radical expression

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q = \frac{28 \pm 2 233}{2}

Separate the equation into 2 possible cases

q = \frac{28 + 2 233}{2} q = \frac{28 - 2 233}{2}

Simplify the expression

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q = 14 + 233 q = \frac{28 - 2 233}{2}

Simplify the expression

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q = 14 + 233 q = 14 - 233

Solution

q_{1} = 14 - 233, q_{2} = 14 + 233

Alternative Form

q_{1} \approx - 1.264338, q_{2} \approx 29.264338

Solve the quadratic equation