Solve 6(x^2) -4x - 5

Question

Find the roots

x_{1} = \frac{2 - 34}{6}, x_{2} = \frac{2 + 34}{6}

Alternative Form

x_{1} \approx - 0.638492, x_{2} \approx 1.305159

Evaluate

6 (x^{2}) - 4 x - 5

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

6 (x^{2}) - 4 x - 5 = 0

Calculate

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

Substitute a= 6,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 6 ( - 5 )}{2 \times 6}

Simplify the expression

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 6 ( - 5 )}{12}

Simplify the expression

More Steps

x = \frac{4 \pm 136}{12}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 34}{12}

Separate the equation into 2 possible cases

x = \frac{4 + 2 34}{12} x = \frac{4 - 2 34}{12}

Simplify the expression

More Steps

x = \frac{2 + 34}{6} x = \frac{4 - 2 34}{12}

Simplify the expression

More Steps

x = \frac{2 + 34}{6} x = \frac{2 - 34}{6}

Solution

x_{1} = \frac{2 - 34}{6}, x_{2} = \frac{2 + 34}{6}

Alternative Form

x_{1} \approx - 0.638492, x_{2} \approx 1.305159

Show Solution