What are the solutions to the equation 0=0.5x^2+15x+5000 ?

The solutions to the equation 0=0.5x^2+15x+5000 are x=-15+5sqrt(391)i,x=-15-5sqrt(391)i

Find the zeros of 0=0.5x^2+15x+5000

The zeros of 0=0.5x^2+15x+5000 are x=-15+5sqrt(391)i,x=-15-5sqrt(391)i

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0 = 0.5 x^{2} + 15 x + 5000

x = - 15 + 5391 i, x = - 15 - 5391 i

Solution steps

0 = 0.5 x^{2} + 15 x + 5000

Multiply both sides by

10

0 = 5 x^{2} + 150 x + 50000

Switch sides

5 x^{2} + 150 x + 50000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 150 \pm 15 0 ^{2} - 4 \cdot 5 \cdot 50000}{2 \cdot 5}

Simplify

15 0^{2} - 4 \cdot 5 \cdot 50000 : 50391 i

x_{1, 2} = \frac{- 150 \pm 50 391 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 150 + 50 391 i}{2 \cdot 5}, x_{2} = \frac{- 150 - 50 391 i}{2 \cdot 5}

x = \frac{- 150 + 50 391 i}{2 \cdot 5} : - 15 + 5391 i

x = \frac{- 150 - 50 391 i}{2 \cdot 5} : - 15 - 5391 i

The solutions to the quadratic equation are:

x = - 15 + 5391 i, x = - 15 - 5391 i

x (x + 12) = - 35

x^{2} - 16 x + 28 = 0

x^{2} + 0.07 = 2.4 x

x^{2} + (x + 20)^{2} = (24)^{2}

x, x^{2} - 4 x + 29 = 0

What are the solutions to the equation 0=0.5x^2+15x+5000 ?
The solutions to the equation 0=0.5x^2+15x+5000 are x=-15+5sqrt(391)i,x=-15-5sqrt(391)i
Find the zeros of 0=0.5x^2+15x+5000
The zeros of 0=0.5x^2+15x+5000 are x=-15+5sqrt(391)i,x=-15-5sqrt(391)i