What are the solutions to the equation 3x^2-4x=-4 ?

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

Find the zeros of 3x^2-4x=-4

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

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3 x^{2} - 4 x = - 4

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

Solution steps

3 x^{2} - 4 x = - 4

Move

4

to the left side

3 x^{2} - 4 x + 4 = 0

Solve with the quadratic formula

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

Simplify

(- 4)^{2} - 4 \cdot 3 \cdot 4 : 42 i

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

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 4 2 i}{2 \cdot 3}, x_{2} = \frac{- ( - 4 ) - 4 2 i}{2 \cdot 3}

x = \frac{- ( - 4 ) + 4 2 i}{2 \cdot 3} : \frac{2}{3} + i \frac{2 2}{3}

x = \frac{- ( - 4 ) - 4 2 i}{2 \cdot 3} : \frac{2}{3} - i \frac{2 2}{3}

The solutions to the quadratic equation are:

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

x^{2} - 20 + 12 = 0

0 = 3 x (x - 1) - (3 x + 7)

10 x^{2} + 5 = 1

25 = x^{2} + 14 x + 49

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

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