What are the solutions to the equation 2s^2+15s+40=0 ?

The solutions to the equation 2s^2+15s+40=0 are s=-15/4+i(sqrt(95))/4 ,s=-15/4-i(sqrt(95))/4

Find the zeros of 2s^2+15s+40=0

The zeros of 2s^2+15s+40=0 are s=-15/4+i(sqrt(95))/4 ,s=-15/4-i(sqrt(95))/4

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2 s^{2} + 15 s + 40 = 0

s = - \frac{15}{4} + i \frac{95}{4}, s = - \frac{15}{4} - i \frac{95}{4}

Solution steps

2 s^{2} + 15 s + 40 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 2 \cdot 40}{2 \cdot 2}

Simplify

1 5^{2} - 4 \cdot 2 \cdot 40 : 95 i

s_{1, 2} = \frac{- 15 \pm 95 i}{2 \cdot 2}

Separate the solutions

s_{1} = \frac{- 15 + 95 i}{2 \cdot 2}, s_{2} = \frac{- 15 - 95 i}{2 \cdot 2}

s = \frac{- 15 + 95 i}{2 \cdot 2} : - \frac{15}{4} + i \frac{95}{4}

s = \frac{- 15 - 95 i}{2 \cdot 2} : - \frac{15}{4} - i \frac{95}{4}

The solutions to the quadratic equation are:

s = - \frac{15}{4} + i \frac{95}{4}, s = - \frac{15}{4} - i \frac{95}{4}

x, x^{2} + 10 x + 24 = 0

a^{2} - a - 2 = 0

x^{2} + 18 x = 9

x^{2} + 18 x = 4

v^{2} - 7 v = 18

What are the solutions to the equation 2s^2+15s+40=0 ?
The solutions to the equation 2s^2+15s+40=0 are s=-15/4+i(sqrt(95))/4 ,s=-15/4-i(sqrt(95))/4
Find the zeros of 2s^2+15s+40=0
The zeros of 2s^2+15s+40=0 are s=-15/4+i(sqrt(95))/4 ,s=-15/4-i(sqrt(95))/4