What are the solutions to the equation 7x^2-6x+6=0 ?

The solutions to the equation 7x^2-6x+6=0 are x= 3/7+i(sqrt(33))/7 ,x= 3/7-i(sqrt(33))/7

Find the zeros of 7x^2-6x+6=0

The zeros of 7x^2-6x+6=0 are x= 3/7+i(sqrt(33))/7 ,x= 3/7-i(sqrt(33))/7

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7 x^{2} - 6 x + 6 = 0

x = \frac{3}{7} + i \frac{33}{7}, x = \frac{3}{7} - i \frac{33}{7}

Solution steps

7 x^{2} - 6 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 7 \cdot 6}{2 \cdot 7}

Simplify

(- 6)^{2} - 4 \cdot 7 \cdot 6 : 233 i

x_{1, 2} = \frac{- ( - 6 ) \pm 2 33 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 33 i}{2 \cdot 7}, x_{2} = \frac{- ( - 6 ) - 2 33 i}{2 \cdot 7}

x = \frac{- ( - 6 ) + 2 33 i}{2 \cdot 7} : \frac{3}{7} + i \frac{33}{7}

x = \frac{- ( - 6 ) - 2 33 i}{2 \cdot 7} : \frac{3}{7} - i \frac{33}{7}

The solutions to the quadratic equation are:

x = \frac{3}{7} + i \frac{33}{7}, x = \frac{3}{7} - i \frac{33}{7}

(x^{2} - 7) 2 + 2 x^{2} - 14 = 0

- x^{2} - 9 x = 0

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

(x - 4) (x + 8) = 0

m^{2} - 3 m

What are the solutions to the equation 7x^2-6x+6=0 ?
The solutions to the equation 7x^2-6x+6=0 are x= 3/7+i(sqrt(33))/7 ,x= 3/7-i(sqrt(33))/7
Find the zeros of 7x^2-6x+6=0
The zeros of 7x^2-6x+6=0 are x= 3/7+i(sqrt(33))/7 ,x= 3/7-i(sqrt(33))/7