Solve 2x^2 - 12x 16 - 4800 = 0

Evaluate

2 x^{2} - 12 x \times 16 - 4800 = 0

Multiply the terms

2 x^{2} - 192 x - 4800 = 0

Substitute a= 2,b= - 192 and c= - 4800 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{192 \pm ( - 192 ) ^{2} - 4 \times 2 ( - 4800 )}{2 \times 2}

Simplify the expression

x = \frac{192 \pm ( - 192 ) ^{2} - 4 \times 2 ( - 4800 )}{4}

Simplify the expression

More Steps

x = \frac{192 \pm 75264}{4}

Simplify the radical expression

More Steps

x = \frac{192 \pm 112 6}{4}

Separate the equation into 2 possible cases

x = \frac{192 + 112 6}{4} x = \frac{192 - 112 6}{4}

Simplify the expression

More Steps

x = 48 + 286 x = \frac{192 - 112 6}{4}

Simplify the expression

More Steps

x = 48 + 286 x = 48 - 286

Solution

x_{1} = 48 - 286, x_{2} = 48 + 286

Alternative Form

x_{1} \approx - 20.585713, x_{2} \approx 116.585713

Solve the quadratic equation