What are the solutions to the equation 7x^2-3x+6=0 ?

The solutions to the equation 7x^2-3x+6=0 are x= 3/14+i(sqrt(159))/(14),x= 3/14-i(sqrt(159))/(14)

Find the zeros of 7x^2-3x+6=0

The zeros of 7x^2-3x+6=0 are x= 3/14+i(sqrt(159))/(14),x= 3/14-i(sqrt(159))/(14)

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7 x^{2} - 3 x + 6 = 0

x = \frac{3}{14} + i \frac{159}{14}, x = \frac{3}{14} - i \frac{159}{14}

Solution steps

7 x^{2} - 3 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 7 \cdot 6}{2 \cdot 7}

Simplify

(- 3)^{2} - 4 \cdot 7 \cdot 6 : 159 i

x_{1, 2} = \frac{- ( - 3 ) \pm 159 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 159 i}{2 \cdot 7}, x_{2} = \frac{- ( - 3 ) - 159 i}{2 \cdot 7}

x = \frac{- ( - 3 ) + 159 i}{2 \cdot 7} : \frac{3}{14} + i \frac{159}{14}

x = \frac{- ( - 3 ) - 159 i}{2 \cdot 7} : \frac{3}{14} - i \frac{159}{14}

The solutions to the quadratic equation are:

x = \frac{3}{14} + i \frac{159}{14}, x = \frac{3}{14} - i \frac{159}{14}

17 y + 5 y^{2} = 40

- 3 x^{2} + 20 x + 32 = 0

- 5 x^{2} + 180 = 0

20000 = x^{2} + 100 x

x, 0 = 3 x^{2} + 3 y^{2}

What are the solutions to the equation 7x^2-3x+6=0 ?
The solutions to the equation 7x^2-3x+6=0 are x= 3/14+i(sqrt(159))/(14),x= 3/14-i(sqrt(159))/(14)
Find the zeros of 7x^2-3x+6=0
The zeros of 7x^2-3x+6=0 are x= 3/14+i(sqrt(159))/(14),x= 3/14-i(sqrt(159))/(14)