Solve x^(2)-2=-3x

Evaluate

x^{2} - 2 = - 3 x

Move the expression to the left side

x^{2} - 2 + 3 x = 0

Rewrite in standard form

x^{2} + 3 x - 2 = 0

Substitute a= 1,b= 3 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 3 \pm 3 ^{2} - 4 ( - 2 )}{2}

Simplify the expression

More Steps

x = \frac{- 3 \pm 17}{2}

Separate the equation into 2 possible cases

x = \frac{- 3 + 17}{2} x = \frac{- 3 - 17}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 3 + 17}{2} x = - \frac{3 + 17}{2}

Solution

x_{1} = - \frac{3 + 17}{2}, x_{2} = \frac{- 3 + 17}{2}

Alternative Form

x_{1} \approx - 3.561553, x_{2} \approx 0.561553

Solve the quadratic equation