Solve 3x^2-7x -3 - ScanMath

Evaluate

3 x^{2} - 7 x - 3

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

3 x^{2} - 7 x - 3 = 0

Substitute a= 3,b= - 7 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 3 ( - 3 )}{2 \times 3}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 3 ( - 3 )}{6}

Simplify the expression

More Steps

x = \frac{7 \pm 85}{6}

Separate the equation into 2 possible cases

x = \frac{7 + 85}{6} x = \frac{7 - 85}{6}

Solution

x_{1} = \frac{7 - 85}{6}, x_{2} = \frac{7 + 85}{6}

Alternative Form

x_{1} \approx - 0.369924, x_{2} \approx 2.703257

Find the roots