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

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

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

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

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

x = - \frac{3}{7} + i \frac{2 3}{7}, x = - \frac{3}{7} - i \frac{2 3}{7}

Solution steps

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

Solve with the quadratic formula

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

Simplify

6^{2} - 4 \cdot 7 \cdot 3 : 43 i

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

Separate the solutions

x_{1} = \frac{- 6 + 4 3 i}{2 \cdot 7}, x_{2} = \frac{- 6 - 4 3 i}{2 \cdot 7}

x = \frac{- 6 + 4 3 i}{2 \cdot 7} : - \frac{3}{7} + i \frac{2 3}{7}

x = \frac{- 6 - 4 3 i}{2 \cdot 7} : - \frac{3}{7} - i \frac{2 3}{7}

The solutions to the quadratic equation are:

x = - \frac{3}{7} + i \frac{2 3}{7}, x = - \frac{3}{7} - i \frac{2 3}{7}

4 x^{2} + 8 x = 5 x^{2} + x

3 m^{2} + 8 m - 3 = 0

4 q^{2} - 17 q + 8 = - 2 q

7 x^{2} = x

4 x^{2} - (2 - k)^{2} = 0

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