Solve 3x^2-2x-3 - ScanMath

Evaluate

3 x^{2} - 2 x - 3

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

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

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{2 \pm 40}{6}

Simplify the radical expression

More Steps

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

Separate the equation into 2 possible cases

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

Simplify the expression

More Steps

x = \frac{1 + 10}{3} x = \frac{2 - 2 10}{6}

Simplify the expression

More Steps

x = \frac{1 + 10}{3} x = \frac{1 - 10}{3}

Solution

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

Alternative Form

x_{1} \approx - 0.720759, x_{2} \approx 1.387426

Find the roots