What are the solutions to the equation 6x^2-8x=-3 ?

The solutions to the equation 6x^2-8x=-3 are x= 2/3+i(sqrt(2))/6 ,x= 2/3-i(sqrt(2))/6

Find the zeros of 6x^2-8x=-3

The zeros of 6x^2-8x=-3 are x= 2/3+i(sqrt(2))/6 ,x= 2/3-i(sqrt(2))/6

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6 x^{2} - 8 x = - 3

x = \frac{2}{3} + i \frac{2}{6}, x = \frac{2}{3} - i \frac{2}{6}

Solution steps

6 x^{2} - 8 x = - 3

Move

3

to the left side

6 x^{2} - 8 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 6 \cdot 3}{2 \cdot 6}

Simplify

(- 8)^{2} - 4 \cdot 6 \cdot 3 : 22 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 2 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 2 i}{2 \cdot 6}, x_{2} = \frac{- ( - 8 ) - 2 2 i}{2 \cdot 6}

x = \frac{- ( - 8 ) + 2 2 i}{2 \cdot 6} : \frac{2}{3} + i \frac{2}{6}

x = \frac{- ( - 8 ) - 2 2 i}{2 \cdot 6} : \frac{2}{3} - i \frac{2}{6}

The solutions to the quadratic equation are:

x = \frac{2}{3} + i \frac{2}{6}, x = \frac{2}{3} - i \frac{2}{6}

6 (x - 1)^{2} + 15 = 105

(3 x + 3)^{2} = 16

x^{2} = a

t^{2} - t - 6 = 0

3 x^{2} - 8 x - 10 = 0

What are the solutions to the equation 6x^2-8x=-3 ?
The solutions to the equation 6x^2-8x=-3 are x= 2/3+i(sqrt(2))/6 ,x= 2/3-i(sqrt(2))/6
Find the zeros of 6x^2-8x=-3
The zeros of 6x^2-8x=-3 are x= 2/3+i(sqrt(2))/6 ,x= 2/3-i(sqrt(2))/6