What are the solutions to the equation 9x^2-12x+8=0 ?

The solutions to the equation 9x^2-12x+8=0 are x= 2/3+i 2/3 ,x= 2/3-i 2/3

Find the zeros of 9x^2-12x+8=0

The zeros of 9x^2-12x+8=0 are x= 2/3+i 2/3 ,x= 2/3-i 2/3

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9 x^{2} - 12 x + 8 = 0

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

Solution steps

9 x^{2} - 12 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 9 \cdot 8}{2 \cdot 9}

Simplify

(- 12)^{2} - 4 \cdot 9 \cdot 8 : 12 i

x_{1, 2} = \frac{- ( - 12 ) \pm 12 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 12 i}{2 \cdot 9}, x_{2} = \frac{- ( - 12 ) - 12 i}{2 \cdot 9}

x = \frac{- ( - 12 ) + 12 i}{2 \cdot 9} : \frac{2}{3} + i \frac{2}{3}

x = \frac{- ( - 12 ) - 12 i}{2 \cdot 9} : \frac{2}{3} - i \frac{2}{3}

The solutions to the quadratic equation are:

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

x^{2} - 21 x + 20 = 0

x^{2} + 2 x - 59 = 3 x - 3

4 x^{2} + 36 x = - 73

x^{2} - 16 x + 15 = 0

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

What are the solutions to the equation 9x^2-12x+8=0 ?
The solutions to the equation 9x^2-12x+8=0 are x= 2/3+i 2/3 ,x= 2/3-i 2/3
Find the zeros of 9x^2-12x+8=0
The zeros of 9x^2-12x+8=0 are x= 2/3+i 2/3 ,x= 2/3-i 2/3