What are the solutions to the equation 3x^2-9x+7=0 ?

The solutions to the equation 3x^2-9x+7=0 are x= 3/2+i(sqrt(3))/6 ,x= 3/2-i(sqrt(3))/6

Find the zeros of 3x^2-9x+7=0

The zeros of 3x^2-9x+7=0 are x= 3/2+i(sqrt(3))/6 ,x= 3/2-i(sqrt(3))/6

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3 x^{2} - 9 x + 7 = 0

x = \frac{3}{2} + i \frac{3}{6}, x = \frac{3}{2} - i \frac{3}{6}

Solution steps

3 x^{2} - 9 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

Simplify

(- 9)^{2} - 4 \cdot 3 \cdot 7 : 3 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = \frac{3}{2} + i \frac{3}{6}, x = \frac{3}{2} - i \frac{3}{6}

3 x^{2} + 5 x + 10 = 0

x, 2 (x + 2)^{2} = 72

x^{2} + 2 x - 2

(3 x + 2)^{2} - 49 = 0

x^{2} + 1

What are the solutions to the equation 3x^2-9x+7=0 ?
The solutions to the equation 3x^2-9x+7=0 are x= 3/2+i(sqrt(3))/6 ,x= 3/2-i(sqrt(3))/6
Find the zeros of 3x^2-9x+7=0
The zeros of 3x^2-9x+7=0 are x= 3/2+i(sqrt(3))/6 ,x= 3/2-i(sqrt(3))/6