Solve 16x^2 - 64x - 9 = 0

Evaluate

16 x^{2} - 64 x - 9 = 0

Substitute a= 16,b= - 64 and c= - 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{64 \pm ( - 64 ) ^{2} - 4 \times 16 ( - 9 )}{2 \times 16}

Simplify the expression

x = \frac{64 \pm ( - 64 ) ^{2} - 4 \times 16 ( - 9 )}{32}

Simplify the expression

More Steps

x = \frac{64 \pm 4672}{32}

Simplify the radical expression

More Steps

x = \frac{64 \pm 8 73}{32}

Separate the equation into 2 possible cases

x = \frac{64 + 8 73}{32} x = \frac{64 - 8 73}{32}

Simplify the expression

More Steps

x = \frac{8 + 73}{4} x = \frac{64 - 8 73}{32}

Simplify the expression

More Steps

x = \frac{8 + 73}{4} x = \frac{8 - 73}{4}

Solution

x_{1} = \frac{8 - 73}{4}, x_{2} = \frac{8 + 73}{4}

Alternative Form

x_{1} \approx - 0.136001, x_{2} \approx 4.136001

Solve the quadratic equation