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

The solutions to the equation x^2+3/8 x+2=0 are x=-3/16+i(sqrt(503))/(16),x=-3/16-i(sqrt(503))/(16)

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

The zeros of x^2+3/8 x+2=0 are x=-3/16+i(sqrt(503))/(16),x=-3/16-i(sqrt(503))/(16)

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

x = - \frac{3}{16} + i \frac{503}{16}, x = - \frac{3}{16} - i \frac{503}{16}

Solution steps

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

Multiply both sides by

8

8 x^{2} + 3 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 8 \cdot 16}{2 \cdot 8}

Simplify

3^{2} - 4 \cdot 8 \cdot 16 : 503 i

x_{1, 2} = \frac{- 3 \pm 503 i}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- 3 + 503 i}{2 \cdot 8}, x_{2} = \frac{- 3 - 503 i}{2 \cdot 8}

x = \frac{- 3 + 503 i}{2 \cdot 8} : - \frac{3}{16} + i \frac{503}{16}

x = \frac{- 3 - 503 i}{2 \cdot 8} : - \frac{3}{16} - i \frac{503}{16}

The solutions to the quadratic equation are:

x = - \frac{3}{16} + i \frac{503}{16}, x = - \frac{3}{16} - i \frac{503}{16}

\frac{4 ( - 1 )}{3 + 2 ( 1 ) ^{2} + 2 ( - 1 ) ^{2}}

\frac{t - 3}{7} + \frac{t - 1}{3} = 4

a^{4} - a^{2} - 6

2 x - 1 < 3

\frac{i}{2 + i}

What are the solutions to the equation x^2+3/8 x+2=0 ?
The solutions to the equation x^2+3/8 x+2=0 are x=-3/16+i(sqrt(503))/(16),x=-3/16-i(sqrt(503))/(16)
Find the zeros of x^2+3/8 x+2=0
The zeros of x^2+3/8 x+2=0 are x=-3/16+i(sqrt(503))/(16),x=-3/16-i(sqrt(503))/(16)