What are the solutions to the equation 36x^2+16x+2=0 ?

The solutions to the equation 36x^2+16x+2=0 are x=-2/9+i(sqrt(2))/(18),x=-2/9-i(sqrt(2))/(18)

Find the zeros of 36x^2+16x+2=0

The zeros of 36x^2+16x+2=0 are x=-2/9+i(sqrt(2))/(18),x=-2/9-i(sqrt(2))/(18)

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36 x^{2} + 16 x + 2 = 0

x = - \frac{2}{9} + i \frac{2}{18}, x = - \frac{2}{9} - i \frac{2}{18}

Solution steps

36 x^{2} + 16 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 36 \cdot 2}{2 \cdot 36}

Simplify

1 6^{2} - 4 \cdot 36 \cdot 2 : 42 i

x_{1, 2} = \frac{- 16 \pm 4 2 i}{2 \cdot 36}

Separate the solutions

x_{1} = \frac{- 16 + 4 2 i}{2 \cdot 36}, x_{2} = \frac{- 16 - 4 2 i}{2 \cdot 36}

x = \frac{- 16 + 4 2 i}{2 \cdot 36} : - \frac{2}{9} + i \frac{2}{18}

x = \frac{- 16 - 4 2 i}{2 \cdot 36} : - \frac{2}{9} - i \frac{2}{18}

The solutions to the quadratic equation are:

x = - \frac{2}{9} + i \frac{2}{18}, x = - \frac{2}{9} - i \frac{2}{18}

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What are the solutions to the equation 36x^2+16x+2=0 ?
The solutions to the equation 36x^2+16x+2=0 are x=-2/9+i(sqrt(2))/(18),x=-2/9-i(sqrt(2))/(18)
Find the zeros of 36x^2+16x+2=0
The zeros of 36x^2+16x+2=0 are x=-2/9+i(sqrt(2))/(18),x=-2/9-i(sqrt(2))/(18)