Solve x^2 - 26992x - 27=0

Evaluate

x^{2} - 26992 x - 27 = 0

Substitute a= 1,b= - 26992 and c= - 27 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{26992 \pm ( - 26992 ) ^{2} - 4 ( - 27 )}{2}

Simplify the expression

More Steps

x = \frac{26992 \pm 2699 2 ^{2} + 108}{2}

Simplify the radical expression

x = \frac{26992 \pm 2 1349 6 ^{2} + 27}{2}

Separate the equation into 2 possible cases

x = \frac{26992 + 2 1349 6 ^{2} + 27}{2} x = \frac{26992 - 2 1349 6 ^{2} + 27}{2}

Simplify the expression

More Steps

x = 13496 + 1349 6^{2} + 27 x = \frac{26992 - 2 1349 6 ^{2} + 27}{2}

Simplify the expression

More Steps

x = 13496 + 1349 6^{2} + 27 x = 13496 - 1349 6^{2} + 27

Solution

x_{1} = 13496 - 1349 6^{2} + 27, x_{2} = 13496 + 1349 6^{2} + 27

Alternative Form

x_{1} \approx - 0.001, x_{2} \approx 26992.001

Solve the quadratic equation