What are the solutions to the equation x^2+8x+304/3 =0 ?

The solutions to the equation x^2+8x+304/3 =0 are x=-4+i(16sqrt(3))/3 ,x=-4-i(16sqrt(3))/3

Find the zeros of x^2+8x+304/3 =0

The zeros of x^2+8x+304/3 =0 are x=-4+i(16sqrt(3))/3 ,x=-4-i(16sqrt(3))/3

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x^{2} + 8 x + \frac{304}{3} = 0

x = - 4 + i \frac{16 3}{3}, x = - 4 - i \frac{16 3}{3}

Solution steps

x^{2} + 8 x + \frac{304}{3} = 0

Multiply both sides by

3

3 x^{2} + 24 x + 304 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 3 \cdot 304}{2 \cdot 3}

Simplify

2 4^{2} - 4 \cdot 3 \cdot 304 : 323 i

x_{1, 2} = \frac{- 24 \pm 32 3 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 24 + 32 3 i}{2 \cdot 3}, x_{2} = \frac{- 24 - 32 3 i}{2 \cdot 3}

x = \frac{- 24 + 32 3 i}{2 \cdot 3} : - 4 + i \frac{16 3}{3}

x = \frac{- 24 - 32 3 i}{2 \cdot 3} : - 4 - i \frac{16 3}{3}

The solutions to the quadratic equation are:

x = - 4 + i \frac{16 3}{3}, x = - 4 - i \frac{16 3}{3}

(x + 2)^{2} = (x + 1)^{2} + x^{2}

5 u^{2} - 7 u = 6

x^{2} - x = 18

9^{2} + 3^{2} = c^{2}

3 n^{2} - 15 n = 0

What are the solutions to the equation x^2+8x+304/3 =0 ?
The solutions to the equation x^2+8x+304/3 =0 are x=-4+i(16sqrt(3))/3 ,x=-4-i(16sqrt(3))/3
Find the zeros of x^2+8x+304/3 =0
The zeros of x^2+8x+304/3 =0 are x=-4+i(16sqrt(3))/3 ,x=-4-i(16sqrt(3))/3