Solve 2x^(2)-16 x-8

Evaluate

2 x^{2} - 16 x - 8

To find the roots of the expression,set the expression equal to 0

2 x^{2} - 16 x - 8 = 0

Substitute a= 2,b= - 16 and c= - 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 ( - 8 )}{2 \times 2}

Simplify the expression

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 2 ( - 8 )}{4}

Simplify the expression

More Steps

x = \frac{16 \pm 320}{4}

Simplify the radical expression

More Steps

x = \frac{16 \pm 8 5}{4}

Separate the equation into 2 possible cases

x = \frac{16 + 8 5}{4} x = \frac{16 - 8 5}{4}

Simplify the expression

More Steps

x = 4 + 25 x = \frac{16 - 8 5}{4}

Simplify the expression

More Steps

x = 4 + 25 x = 4 - 25

Solution

x_{1} = 4 - 25, x_{2} = 4 + 25

Alternative Form

x_{1} \approx - 0.472136, x_{2} \approx 8.472136

Factor the expression