Solve x^2+60x-400=0

Evaluate

x^{2} + 60 x - 400 = 0

Substitute a= 1,b= 60 and c= - 400 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 60 \pm 6 0 ^{2} - 4 ( - 400 )}{2}

Simplify the expression

More Steps

x = \frac{- 60 \pm 5200}{2}

Simplify the radical expression

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x = \frac{- 60 \pm 20 13}{2}

Separate the equation into 2 possible cases

x = \frac{- 60 + 20 13}{2} x = \frac{- 60 - 20 13}{2}

Simplify the expression

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x = - 30 + 1013 x = \frac{- 60 - 20 13}{2}

Simplify the expression

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x = - 30 + 1013 x = - 30 - 1013

Solution

x_{1} = - 30 - 1013, x_{2} = - 30 + 1013

Alternative Form

x_{1} \approx - 66.055513, x_{2} \approx 6.055513

Solve the quadratic equation