Solve 6x^2-8x-48 - ScanMath

Question

Factor the expression

2 (3 x^{2} - 4 x - 24)

Show Solution

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

Alternative Form

x_{1} \approx - 2.239266, x_{2} \approx 3.572599

Evaluate

6 x^{2} - 8 x - 48

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

6 x^{2} - 8 x - 48 = 0

Substitute a= 6,b= - 8 and c= - 48 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 6 ( - 48 )}{2 \times 6}

Simplify the expression

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 6 ( - 48 )}{12}

Simplify the expression

More Steps

x = \frac{8 \pm 1216}{12}

Simplify the radical expression

More Steps

x = \frac{8 \pm 8 19}{12}

Separate the equation into 2 possible cases

x = \frac{8 + 8 19}{12} x = \frac{8 - 8 19}{12}

Simplify the expression

More Steps

x = \frac{2 + 2 19}{3} x = \frac{8 - 8 19}{12}

Simplify the expression

More Steps

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

Solution

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

Alternative Form

x_{1} \approx - 2.239266, x_{2} \approx 3.572599

Show Solution