What are the solutions to the equation -84=s(s+19) ?

The solutions to the equation -84=s(s+19) are s=-7,s=-12

Find the zeros of -84=s(s+19)

The zeros of -84=s(s+19) are s=-7,s=-12

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- 84 = s (s + 19)

s = - 7, s = - 12

Solution steps

- 84 = s (s + 19)

Expand

s (s + 19) : s^{2} + 19 s

- 84 = s^{2} + 19 s

Switch sides

s^{2} + 19 s = - 84

Move

84

to the left side

s^{2} + 19 s + 84 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 1 \cdot 84}{2 \cdot 1}

1 9^{2} - 4 \cdot 1 \cdot 84 = 5

s_{1, 2} = \frac{- 19 \pm 5}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- 19 + 5}{2 \cdot 1}, s_{2} = \frac{- 19 - 5}{2 \cdot 1}

s = \frac{- 19 + 5}{2 \cdot 1} : - 7

s = \frac{- 19 - 5}{2 \cdot 1} : - 12

The solutions to the quadratic equation are:

s = - 7, s = - 12

\frac{a}{3 b}

x^{2} - 8 x + 3 = 0

∣ x + 5 ∣ < 9

\frac{π}{4} - π

5 x - 1 \leq 3 + 3 x

What are the solutions to the equation -84=s(s+19) ?
The solutions to the equation -84=s(s+19) are s=-7,s=-12
Find the zeros of -84=s(s+19)
The zeros of -84=s(s+19) are s=-7,s=-12