Solve \[-63x - 9x^2 = -16\]

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = - \frac{21 + 505}{6}, x_{2} = \frac{- 21 + 505}{6}

Alternative Form

x_{1} \approx - 7.245368, x_{2} \approx 0.245368

Evaluate

- 63 x - 9 x^{2} = - 16

Move the expression to the left side

- 63 x - 9 x^{2} + 16 = 0

Rewrite in standard form

- 9 x^{2} - 63 x + 16 = 0

Multiply both sides

9 x^{2} + 63 x - 16 = 0

Substitute a= 9,b= 63 and c= - 16 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 63 \pm 6 3 ^{2} - 4 \times 9 ( - 16 )}{2 \times 9}

Simplify the expression

x = \frac{- 63 \pm 6 3 ^{2} - 4 \times 9 ( - 16 )}{18}

Simplify the expression

More Steps

x = \frac{- 63 \pm 4545}{18}

Simplify the radical expression

More Steps

x = \frac{- 63 \pm 3 505}{18}

Separate the equation into 2 possible cases

x = \frac{- 63 + 3 505}{18} x = \frac{- 63 - 3 505}{18}

Simplify the expression

More Steps

x = \frac{- 21 + 505}{6} x = \frac{- 63 - 3 505}{18}

Simplify the expression

More Steps

x = \frac{- 21 + 505}{6} x = - \frac{21 + 505}{6}

Solution

x_{1} = - \frac{21 + 505}{6}, x_{2} = \frac{- 21 + 505}{6}

Alternative Form

x_{1} \approx - 7.245368, x_{2} \approx 0.245368

Show Solution