Solve x^2 = 8 - 5x

Evaluate

x^{2} = 8 - 5 x

Move the expression to the left side

x^{2} - 8 + 5 x = 0

Rewrite in standard form

x^{2} + 5 x - 8 = 0

Substitute a= 1,b= 5 and c= - 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 ( - 8 )}{2}

Simplify the expression

More Steps

x = \frac{- 5 \pm 57}{2}

Separate the equation into 2 possible cases

x = \frac{- 5 + 57}{2} x = \frac{- 5 - 57}{2}

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

x = \frac{- 5 + 57}{2} x = - \frac{5 + 57}{2}

Solution

x_{1} = - \frac{5 + 57}{2}, x_{2} = \frac{- 5 + 57}{2}

Alternative Form

x_{1} \approx - 6.274917, x_{2} \approx 1.274917

Solve the quadratic equation