Solve 9a^2-112a+12=0

Evaluate

9 a^{2} - 112 a + 12 = 0

Substitute a= 9,b= - 112 and c= 12 into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{112 \pm ( - 112 ) ^{2} - 4 \times 9 \times 12}{2 \times 9}

Simplify the expression

a = \frac{112 \pm ( - 112 ) ^{2} - 4 \times 9 \times 12}{18}

Simplify the expression

More Steps

a = \frac{112 \pm 12112}{18}

Simplify the radical expression

More Steps

a = \frac{112 \pm 4 757}{18}

Separate the equation into 2 possible cases

a = \frac{112 + 4 757}{18} a = \frac{112 - 4 757}{18}

Simplify the expression

More Steps

a = \frac{56 + 2 757}{9} a = \frac{112 - 4 757}{18}

Simplify the expression

More Steps

a = \frac{56 + 2 757}{9} a = \frac{56 - 2 757}{9}

Solution

a_{1} = \frac{56 - 2 757}{9}, a_{2} = \frac{56 + 2 757}{9}

Alternative Form

a_{1} \approx 0.108082, a_{2} \approx 12.336363

Solve the quadratic equation