Solve x^2-6x-89 = 0

Evaluate

x^{2} - 6 x - 89 = 0

Substitute a= 1,b= - 6 and c= - 89 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 ( - 89 )}{2}

Simplify the expression

More Steps

x = \frac{6 \pm 392}{2}

Simplify the radical expression

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x = \frac{6 \pm 14 2}{2}

Separate the equation into 2 possible cases

x = \frac{6 + 14 2}{2} x = \frac{6 - 14 2}{2}

Simplify the expression

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x = 3 + 72 x = \frac{6 - 14 2}{2}

Simplify the expression

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x = 3 + 72 x = 3 - 72

Solution

x_{1} = 3 - 72, x_{2} = 3 + 72

Alternative Form

x_{1} \approx - 6.899495, x_{2} \approx 12.899495

Solve the quadratic equation