Solve x^(2)-20x=-89

Evaluate

x^{2} - 20 x = - 89

Move the expression to the left side

x^{2} - 20 x + 89 = 0

Substitute a= 1,b= - 20 and c= 89 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{20 \pm ( - 20 ) ^{2} - 4 \times 89}{2}

Simplify the expression

More Steps

x = \frac{20 \pm 44}{2}

Simplify the radical expression

More Steps

x = \frac{20 \pm 2 11}{2}

Separate the equation into 2 possible cases

x = \frac{20 + 2 11}{2} x = \frac{20 - 2 11}{2}

Simplify the expression

More Steps

x = 10 + 11 x = \frac{20 - 2 11}{2}

Simplify the expression

More Steps

x = 10 + 11 x = 10 - 11

Solution

x_{1} = 10 - 11, x_{2} = 10 + 11

Alternative Form

x_{1} \approx 6.683375, x_{2} \approx 13.316625

Solve the quadratic equation