Solve -2x=x^2-6 - ScanMath

Evaluate

- 2 x = x^{2} - 6

Swap the sides

x^{2} - 6 = - 2 x

Move the expression to the left side

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

Rewrite in standard form

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

Substitute a= 1,b= 2 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 2 \pm 2 ^{2} - 4 ( - 6 )}{2}

Simplify the expression

More Steps

x = \frac{- 2 \pm 28}{2}

Simplify the radical expression

More Steps

x = \frac{- 2 \pm 2 7}{2}

Separate the equation into 2 possible cases

x = \frac{- 2 + 2 7}{2} x = \frac{- 2 - 2 7}{2}

Simplify the expression

More Steps

x = - 1 + 7 x = \frac{- 2 - 2 7}{2}

Simplify the expression

More Steps

x = - 1 + 7 x = - 1 - 7

Solution

x_{1} = - 1 - 7, x_{2} = - 1 + 7

Alternative Form

x_{1} \approx - 3.645751, x_{2} \approx 1.645751

Solve the quadratic equation