Solve (21)-3x^2-3x=421x-60

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = - \frac{212 + 45187}{3}, x_{2} = \frac{- 212 + 45187}{3}

Alternative Form

x_{1} \approx - 141.524114, x_{2} \approx 0.19078

Evaluate

21 - 3 x^{2} - 3 x = 421 x - 60

Move the expression to the left side

81 - 3 x^{2} - 424 x = 0

Rewrite in standard form

- 3 x^{2} - 424 x + 81 = 0

Multiply both sides

3 x^{2} + 424 x - 81 = 0

Substitute a= 3,b= 424 and c= - 81 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 424 \pm 42 4 ^{2} - 4 \times 3 ( - 81 )}{2 \times 3}

Simplify the expression

x = \frac{- 424 \pm 42 4 ^{2} - 4 \times 3 ( - 81 )}{6}

Simplify the expression

More Steps

x = \frac{- 424 \pm 42 4 ^{2} + 972}{6}

Simplify the radical expression

More Steps

x = \frac{- 424 \pm 2 45187}{6}

Separate the equation into 2 possible cases

x = \frac{- 424 + 2 45187}{6} x = \frac{- 424 - 2 45187}{6}

Simplify the expression

More Steps

x = \frac{- 212 + 45187}{3} x = \frac{- 424 - 2 45187}{6}

Simplify the expression

More Steps

x = \frac{- 212 + 45187}{3} x = - \frac{212 + 45187}{3}

Solution

x_{1} = - \frac{212 + 45187}{3}, x_{2} = \frac{- 212 + 45187}{3}

Alternative Form

x_{1} \approx - 141.524114, x_{2} \approx 0.19078

Show Solution