Solve 9x^2-5x-1=0

Evaluate

9 x^{2} - 5 x - 1 = 0

Substitute a= 9,b= - 5 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 9 ( - 1 )}{2 \times 9}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 9 ( - 1 )}{18}

Simplify the expression

More Steps

x = \frac{5 \pm 61}{18}

Separate the equation into 2 possible cases

x = \frac{5 + 61}{18} x = \frac{5 - 61}{18}

Solution

x_{1} = \frac{5 - 61}{18}, x_{2} = \frac{5 + 61}{18}

Alternative Form

x_{1} \approx - 0.156125, x_{2} \approx 0.711681

Solve the quadratic equation