Solve x^(2)-2x -13=0

Evaluate

x^{2} - 2 x - 13 = 0

Substitute a= 1,b= - 2 and c= - 13 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2 \pm ( - 2 ) ^{2} - 4 ( - 13 )}{2}

Simplify the expression

More Steps

x = \frac{2 \pm 56}{2}

Simplify the radical expression

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

Separate the equation into 2 possible cases

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

Simplify the expression

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x = 1 + 14 x = \frac{2 - 2 14}{2}

Simplify the expression

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x = 1 + 14 x = 1 - 14

Solution

x_{1} = 1 - 14, x_{2} = 1 + 14

Alternative Form

x_{1} \approx - 2.741657, x_{2} \approx 4.741657

X^(2) 2x 13=0