What are the solutions to the equation 9x^2-9x+11=0 ?

The solutions to the equation 9x^2-9x+11=0 are x= 1/2+i(sqrt(35))/6 ,x= 1/2-i(sqrt(35))/6

Find the zeros of 9x^2-9x+11=0

The zeros of 9x^2-9x+11=0 are x= 1/2+i(sqrt(35))/6 ,x= 1/2-i(sqrt(35))/6

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9 x^{2} - 9 x + 11 = 0

x = \frac{1}{2} + i \frac{35}{6}, x = \frac{1}{2} - i \frac{35}{6}

Solution steps

9 x^{2} - 9 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 9 \cdot 11}{2 \cdot 9}

Simplify

(- 9)^{2} - 4 \cdot 9 \cdot 11 : 335 i

x_{1, 2} = \frac{- ( - 9 ) \pm 3 35 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 3 35 i}{2 \cdot 9}, x_{2} = \frac{- ( - 9 ) - 3 35 i}{2 \cdot 9}

x = \frac{- ( - 9 ) + 3 35 i}{2 \cdot 9} : \frac{1}{2} + i \frac{35}{6}

x = \frac{- ( - 9 ) - 3 35 i}{2 \cdot 9} : \frac{1}{2} - i \frac{35}{6}

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{35}{6}, x = \frac{1}{2} - i \frac{35}{6}

- x (- 2 - x) - 2 = 0

(x + a)^{2} - b^{2} = 0

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

\frac{1}{8} x^{2} - \frac{3}{4} x + 1 = 0

0.0102 s^{2} + 0.5151 s + 1.255 = 0

What are the solutions to the equation 9x^2-9x+11=0 ?
The solutions to the equation 9x^2-9x+11=0 are x= 1/2+i(sqrt(35))/6 ,x= 1/2-i(sqrt(35))/6
Find the zeros of 9x^2-9x+11=0
The zeros of 9x^2-9x+11=0 are x= 1/2+i(sqrt(35))/6 ,x= 1/2-i(sqrt(35))/6