Solve x^2-8x 16=27

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = 64 - 4123, x_{2} = 64 + 4123

Alternative Form

x_{1} \approx - 0.210591, x_{2} \approx 128.210591

Evaluate

x^{2} - 8 x \times 16 = 27

Multiply the terms

x^{2} - 128 x = 27

Move the expression to the left side

x^{2} - 128 x - 27 = 0

Substitute a= 1,b= - 128 and c= - 27 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{128 \pm ( - 128 ) ^{2} - 4 ( - 27 )}{2}

Simplify the expression

More Steps

x = \frac{128 \pm 16492}{2}

Simplify the radical expression

More Steps

x = \frac{128 \pm 2 4123}{2}

Separate the equation into 2 possible cases

x = \frac{128 + 2 4123}{2} x = \frac{128 - 2 4123}{2}

Simplify the expression

More Steps

x = 64 + 4123 x = \frac{128 - 2 4123}{2}

Simplify the expression

More Steps

x = 64 + 4123 x = 64 - 4123

Solution

x_{1} = 64 - 4123, x_{2} = 64 + 4123

Alternative Form

x_{1} \approx - 0.210591, x_{2} \approx 128.210591

Show Solution