Solve 3x^2 + 4x = 2

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = - \frac{2 + 10}{3}, x_{2} = \frac{- 2 + 10}{3}

Alternative Form

x_{1} \approx - 1.720759, x_{2} \approx 0.387426

Evaluate

3 x^{2} + 4 x = 2

Move the expression to the left side

3 x^{2} + 4 x - 2 = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{- 4 \pm 40}{6}

Simplify the radical expression

More Steps

x = \frac{- 4 \pm 2 10}{6}

Separate the equation into 2 possible cases

x = \frac{- 4 + 2 10}{6} x = \frac{- 4 - 2 10}{6}

Simplify the expression

More Steps

x = \frac{- 2 + 10}{3} x = \frac{- 4 - 2 10}{6}

Simplify the expression

More Steps

x = \frac{- 2 + 10}{3} x = - \frac{2 + 10}{3}

Solution

x_{1} = - \frac{2 + 10}{3}, x_{2} = \frac{- 2 + 10}{3}

Alternative Form

x_{1} \approx - 1.720759, x_{2} \approx 0.387426

Show Solution