Solve x^(2)-32x-200=0

Evaluate

x^{2} - 32 x - 200 = 0

Substitute a= 1,b= - 32 and c= - 200 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{32 \pm ( - 32 ) ^{2} - 4 ( - 200 )}{2}

Simplify the expression

More Steps

x = \frac{32 \pm 1824}{2}

Simplify the radical expression

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x = \frac{32 \pm 4 114}{2}

Separate the equation into 2 possible cases

x = \frac{32 + 4 114}{2} x = \frac{32 - 4 114}{2}

Simplify the expression

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x = 16 + 2114 x = \frac{32 - 4 114}{2}

Simplify the expression

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x = 16 + 2114 x = 16 - 2114

Solution

x_{1} = 16 - 2114, x_{2} = 16 + 2114

Alternative Form

x_{1} \approx - 5.354157, x_{2} \approx 37.354157

Solve the quadratic equation