What is the answer to 2BsiB= 1/3 x^2 ?

The answer to 2BsiB= 1/3 x^2 is

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2BsiB= 1/3 x^2

2 B s i B = \frac{1}{3} x^{2}

(s = 0, x = 0)

Solution steps

2 B s i B = \frac{1}{3} x^{2}

Rewrite

2 B s i B

in standard complex form:

0 + 2 B^{2} s i

0 + 2 B^{2} s i = \frac{1}{3} x^{2}

Rewrite

\frac{1}{3} x^{2}

in standard complex form:

\frac{1}{3} x^{2} + 0 i

0 + 2 B^{2} s i = \frac{1}{3} x^{2} + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[0 = \frac{1}{3} x^{2} 2 B^{2} s = 0]

[0 = \frac{1}{3} x^{2} 2 B^{2} s = 0] : (s = 0, x = 0)

(s = 0, x = 0)

x^{2} + i x + 2 i = 0

- (2 + 3 i) z - 5 + i = - z^{2}

x^{2} - x + (1 - i) = 0

z, 2 z^{2} - 2 i z - 1 = 0

\frac{1 - 2 i}{4 + 2 i} = a + bi