Solve -x^2+6x^2-9x+1=0

Evaluate

- x^{2} + 6 x^{2} - 9 x + 1 = 0

Add the terms

More Steps

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

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

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

Simplify the expression

x = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 5}{10}

Simplify the expression

More Steps

x = \frac{9 \pm 61}{10}

Separate the equation into 2 possible cases

x = \frac{9 + 61}{10} x = \frac{9 - 61}{10}

Solution

x_{1} = \frac{9 - 61}{10}, x_{2} = \frac{9 + 61}{10}

Alternative Form

x_{1} \approx 0.118975, x_{2} \approx 1.681025

Solve the quadratic equation