Solve x^2-39=-2x 9

Evaluate

x^{2} - 39 = - 2 x \times 9

Multiply the terms

x^{2} - 39 = - 18 x

Move the expression to the left side

x^{2} - 39 + 18 x = 0

Rewrite in standard form

x^{2} + 18 x - 39 = 0

Substitute a= 1,b= 18 and c= - 39 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 18 \pm 1 8 ^{2} - 4 ( - 39 )}{2}

Simplify the expression

More Steps

x = \frac{- 18 \pm 480}{2}

Simplify the radical expression

More Steps

x = \frac{- 18 \pm 4 30}{2}

Separate the equation into 2 possible cases

x = \frac{- 18 + 4 30}{2} x = \frac{- 18 - 4 30}{2}

Simplify the expression

More Steps

x = - 9 + 230 x = \frac{- 18 - 4 30}{2}

Simplify the expression

More Steps

x = - 9 + 230 x = - 9 - 230

Solution

x_{1} = - 9 - 230, x_{2} = - 9 + 230

Alternative Form

x_{1} \approx - 19.954451, x_{2} \approx 1.954451

Solve the quadratic equation