Solve 3x^2-4x-3=0

Evaluate

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{4 \pm 52}{6}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 13}{6}

Separate the equation into 2 possible cases

x = \frac{4 + 2 13}{6} x = \frac{4 - 2 13}{6}

Simplify the expression

More Steps

x = \frac{2 + 13}{3} x = \frac{4 - 2 13}{6}

Simplify the expression

More Steps

x = \frac{2 + 13}{3} x = \frac{2 - 13}{3}

Solution

x_{1} = \frac{2 - 13}{3}, x_{2} = \frac{2 + 13}{3}

Alternative Form

x_{1} \approx - 0.535184, x_{2} \approx 1.868517

Solve the quadratic equation