What are the solutions to the equation 9x^2-9x+4=0 ?

The solutions to the equation 9x^2-9x+4=0 are x= 1/2+i(sqrt(7))/6 ,x= 1/2-i(sqrt(7))/6

Find the zeros of 9x^2-9x+4=0

The zeros of 9x^2-9x+4=0 are x= 1/2+i(sqrt(7))/6 ,x= 1/2-i(sqrt(7))/6

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9 x^{2} - 9 x + 4 = 0

x = \frac{1}{2} + i \frac{7}{6}, x = \frac{1}{2} - i \frac{7}{6}

Solution steps

9 x^{2} - 9 x + 4 = 0

Solve with the quadratic formula

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

Simplify

(- 9)^{2} - 4 \cdot 9 \cdot 4 : 37 i

x_{1, 2} = \frac{- ( - 9 ) \pm 3 7 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 3 7 i}{2 \cdot 9}, x_{2} = \frac{- ( - 9 ) - 3 7 i}{2 \cdot 9}

x = \frac{- ( - 9 ) + 3 7 i}{2 \cdot 9} : \frac{1}{2} + i \frac{7}{6}

x = \frac{- ( - 9 ) - 3 7 i}{2 \cdot 9} : \frac{1}{2} - i \frac{7}{6}

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{7}{6}, x = \frac{1}{2} - i \frac{7}{6}

x^{2} - 3 a x - 28 a^{2} = 0

2 x^{2} - 3 x = 7

y, 3 x^{2} - y^{2} = 5 x^{3} y^{2} - 4

x, 3 x^{2} - 8 x + 4 = 0

x, y = c_{1} x^{2} + c_{2} x + c_{3}

What are the solutions to the equation 9x^2-9x+4=0 ?
The solutions to the equation 9x^2-9x+4=0 are x= 1/2+i(sqrt(7))/6 ,x= 1/2-i(sqrt(7))/6
Find the zeros of 9x^2-9x+4=0
The zeros of 9x^2-9x+4=0 are x= 1/2+i(sqrt(7))/6 ,x= 1/2-i(sqrt(7))/6