What are the solutions to the equation -6x^2+3x+2=3 ?

The solutions to the equation -6x^2+3x+2=3 are x= 1/4-i(sqrt(15))/(12),x= 1/4+i(sqrt(15))/(12)

Find the zeros of -6x^2+3x+2=3

The zeros of -6x^2+3x+2=3 are x= 1/4-i(sqrt(15))/(12),x= 1/4+i(sqrt(15))/(12)

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- 6 x^{2} + 3 x + 2 = 3

x = \frac{1}{4} - i \frac{15}{12}, x = \frac{1}{4} + i \frac{15}{12}

Solution steps

- 6 x^{2} + 3 x + 2 = 3

Move

3

to the left side

- 6 x^{2} + 3 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 6 ) ( - 1 )}{2 ( - 6 )}

Simplify

3^{2} - 4 (- 6) (- 1) : 15 i

x_{1, 2} = \frac{- 3 \pm 15 i}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 3 + 15 i}{2 ( - 6 )}, x_{2} = \frac{- 3 - 15 i}{2 ( - 6 )}

x = \frac{- 3 + 15 i}{2 ( - 6 )} : \frac{1}{4} - i \frac{15}{12}

x = \frac{- 3 - 15 i}{2 ( - 6 )} : \frac{1}{4} + i \frac{15}{12}

The solutions to the quadratic equation are:

x = \frac{1}{4} - i \frac{15}{12}, x = \frac{1}{4} + i \frac{15}{12}

1 = 0.001 x^{2} - 0.612 x + 168

4 x^{2} = 40

3 a^{2} - 11 a + 10 = 0

0 = 3 x^{2} - 2 x + 9

z^{2} - 7 z - 3 = 0

What are the solutions to the equation -6x^2+3x+2=3 ?
The solutions to the equation -6x^2+3x+2=3 are x= 1/4-i(sqrt(15))/(12),x= 1/4+i(sqrt(15))/(12)
Find the zeros of -6x^2+3x+2=3
The zeros of -6x^2+3x+2=3 are x= 1/4-i(sqrt(15))/(12),x= 1/4+i(sqrt(15))/(12)