Solve (3s-5)-(-4s^2)

Evaluate

(3 s - 5) - (- 4 s^{2})

To find the roots of the expression,set the expression equal to 0

(3 s - 5) - (- 4 s^{2}) = 0

Remove the parentheses

3 s - 5 - (- 4 s^{2}) = 0

Rewrite the expression

3 s - 5 + 4 s^{2} = 0

Rewrite in standard form

4 s^{2} + 3 s - 5 = 0

Substitute a= 4,b= 3 and c= - 5 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{- 3 \pm 3 ^{2} - 4 \times 4 ( - 5 )}{2 \times 4}

Simplify the expression

s = \frac{- 3 \pm 3 ^{2} - 4 \times 4 ( - 5 )}{8}

Simplify the expression

More Steps

s = \frac{- 3 \pm 89}{8}

Separate the equation into 2 possible cases

s = \frac{- 3 + 89}{8} s = \frac{- 3 - 89}{8}

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

s = \frac{- 3 + 89}{8} s = - \frac{3 + 89}{8}

Solution

s_{1} = - \frac{3 + 89}{8}, s_{2} = \frac{- 3 + 89}{8}

Alternative Form

s_{1} \approx - 1.554248, s_{2} \approx 0.804248

Simplify the expression