Solve 9x^2-8x-12 - ScanMath

Question

Find the roots

x_{1} = \frac{4 - 2 31}{9}, x_{2} = \frac{4 + 2 31}{9}

Alternative Form

x_{1} \approx - 0.792837, x_{2} \approx 1.681725

Evaluate

9 x^{2} - 8 x - 12

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

9 x^{2} - 8 x - 12 = 0

Substitute a= 9,b= - 8 and c= - 12 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 9 ( - 12 )}{2 \times 9}

Simplify the expression

x = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 9 ( - 12 )}{18}

Simplify the expression

More Steps

x = \frac{8 \pm 496}{18}

Simplify the radical expression

More Steps

x = \frac{8 \pm 4 31}{18}

Separate the equation into 2 possible cases

x = \frac{8 + 4 31}{18} x = \frac{8 - 4 31}{18}

Simplify the expression

More Steps

x = \frac{4 + 2 31}{9} x = \frac{8 - 4 31}{18}

Simplify the expression

More Steps

x = \frac{4 + 2 31}{9} x = \frac{4 - 2 31}{9}

Solution

x_{1} = \frac{4 - 2 31}{9}, x_{2} = \frac{4 + 2 31}{9}

Alternative Form

x_{1} \approx - 0.792837, x_{2} \approx 1.681725

Show Solution