Solve 16x^2 -12x- 171 = 0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{3 - 3 77}{8}, x_{2} = \frac{3 + 3 77}{8}

Alternative Form

x_{1} \approx - 2.915612, x_{2} \approx 3.665612

Evaluate

16 x^{2} - 12 x - 171 = 0

Substitute a= 16,b= - 12 and c= - 171 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 16 ( - 171 )}{2 \times 16}

Simplify the expression

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 16 ( - 171 )}{32}

Simplify the expression

More Steps

x = \frac{12 \pm 11088}{32}

Simplify the radical expression

More Steps

x = \frac{12 \pm 12 77}{32}

Separate the equation into 2 possible cases

x = \frac{12 + 12 77}{32} x = \frac{12 - 12 77}{32}

Simplify the expression

More Steps

x = \frac{3 + 3 77}{8} x = \frac{12 - 12 77}{32}

Simplify the expression

More Steps

x = \frac{3 + 3 77}{8} x = \frac{3 - 3 77}{8}

Solution

x_{1} = \frac{3 - 3 77}{8}, x_{2} = \frac{3 + 3 77}{8}

Alternative Form

x_{1} \approx - 2.915612, x_{2} \approx 3.665612

Show Solution