Solve 32-x^2-x=0 - ScanMath

Evaluate

32 - x^{2} - x = 0

Rewrite in standard form

- x^{2} - x + 32 = 0

Multiply both sides

x^{2} + x - 32 = 0

Substitute a= 1,b= 1 and c= - 32 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 ( - 32 )}{2}

Simplify the expression

More Steps

x = \frac{- 1 \pm 129}{2}

Separate the equation into 2 possible cases

x = \frac{- 1 + 129}{2} x = \frac{- 1 - 129}{2}

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

x = \frac{- 1 + 129}{2} x = - \frac{1 + 129}{2}

Solution

x_{1} = - \frac{1 + 129}{2}, x_{2} = \frac{- 1 + 129}{2}

Alternative Form

x_{1} \approx - 6.178908, x_{2} \approx 5.178908

Solve the quadratic equation