Solve 3x^2-4x-5 - ScanMath

Evaluate

3 x^{2} - 4 x - 5

To find the roots of the expression,set the expression equal to 0

3 x^{2} - 4 x - 5 = 0

Substitute a= 3,b= - 4 and c= - 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 ( - 5 )}{2 \times 3}

Simplify the expression

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 ( - 5 )}{6}

Simplify the expression

More Steps

x = \frac{4 \pm 76}{6}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 19}{6}

Separate the equation into 2 possible cases

x = \frac{4 + 2 19}{6} x = \frac{4 - 2 19}{6}

Simplify the expression

More Steps

x = \frac{2 + 19}{3} x = \frac{4 - 2 19}{6}

Simplify the expression

More Steps

x = \frac{2 + 19}{3} x = \frac{2 - 19}{3}

Solution

x_{1} = \frac{2 - 19}{3}, x_{2} = \frac{2 + 19}{3}

Alternative Form

x_{1} \approx - 0.7863, x_{2} \approx 2.119633

Find the roots