Solve x^2 = 19x + 1

Evaluate

x^{2} = 19 x + 1

Move the expression to the left side

x^{2} - 19 x - 1 = 0

Substitute a= 1,b= - 19 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{19 \pm ( - 19 ) ^{2} - 4 ( - 1 )}{2}

Simplify the expression

More Steps

x = \frac{19 \pm 365}{2}

Separate the equation into 2 possible cases

x = \frac{19 + 365}{2} x = \frac{19 - 365}{2}

Solution

x_{1} = \frac{19 - 365}{2}, x_{2} = \frac{19 + 365}{2}

Alternative Form

x_{1} \approx - 0.052487, x_{2} \approx 19.052487

Solve the quadratic equation