Solve x^(2)-50x-400=0

Evaluate

x^{2} - 50 x - 400 = 0

Substitute a= 1,b= - 50 and c= - 400 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{50 \pm ( - 50 ) ^{2} - 4 ( - 400 )}{2}

Simplify the expression

More Steps

x = \frac{50 \pm 4100}{2}

Simplify the radical expression

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x = \frac{50 \pm 10 41}{2}

Separate the equation into 2 possible cases

x = \frac{50 + 10 41}{2} x = \frac{50 - 10 41}{2}

Simplify the expression

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x = 25 + 541 x = \frac{50 - 10 41}{2}

Simplify the expression

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x = 25 + 541 x = 25 - 541

Solution

x_{1} = 25 - 541, x_{2} = 25 + 541

Alternative Form

x_{1} \approx - 7.015621, x_{2} \approx 57.015621

Solve the quadratic equation