Solve -9s-5s^2=-40

Evaluate

- 9 s - 5 s^{2} = - 40

Move the expression to the left side

- 9 s - 5 s^{2} + 40 = 0

Rewrite in standard form

- 5 s^{2} - 9 s + 40 = 0

Multiply both sides

5 s^{2} + 9 s - 40 = 0

Substitute a= 5,b= 9 and c= - 40 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{- 9 \pm 9 ^{2} - 4 \times 5 ( - 40 )}{2 \times 5}

Simplify the expression

s = \frac{- 9 \pm 9 ^{2} - 4 \times 5 ( - 40 )}{10}

Simplify the expression

More Steps

s = \frac{- 9 \pm 881}{10}

Separate the equation into 2 possible cases

s = \frac{- 9 + 881}{10} s = \frac{- 9 - 881}{10}

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

s = \frac{- 9 + 881}{10} s = - \frac{9 + 881}{10}

Solution

s_{1} = - \frac{9 + 881}{10}, s_{2} = \frac{- 9 + 881}{10}

Alternative Form

s_{1} \approx - 3.868164, s_{2} \approx 2.068164

Solve the quadratic equation