Solve x^(2)-40x-1000=0

Evaluate

x^{2} - 40 x - 1000 = 0

Substitute a= 1,b= - 40 and c= - 1000 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{40 \pm ( - 40 ) ^{2} - 4 ( - 1000 )}{2}

Simplify the expression

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x = \frac{40 \pm 5600}{2}

Simplify the radical expression

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x = \frac{40 \pm 20 14}{2}

Separate the equation into 2 possible cases

x = \frac{40 + 20 14}{2} x = \frac{40 - 20 14}{2}

Simplify the expression

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x = 20 + 1014 x = \frac{40 - 20 14}{2}

Simplify the expression

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x = 20 + 1014 x = 20 - 1014

Solution

x_{1} = 20 - 1014, x_{2} = 20 + 1014

Alternative Form

x_{1} \approx - 17.416574, x_{2} \approx 57.416574

Solve the quadratic equation