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

The solutions to the equation 7x^2+3x+2=0 are x=-3/14+i(sqrt(47))/(14),x=-3/14-i(sqrt(47))/(14)

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

The zeros of 7x^2+3x+2=0 are x=-3/14+i(sqrt(47))/(14),x=-3/14-i(sqrt(47))/(14)

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

x = - \frac{3}{14} + i \frac{47}{14}, x = - \frac{3}{14} - i \frac{47}{14}

Solution steps

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

Solve with the quadratic formula

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

Simplify

3^{2} - 4 \cdot 7 \cdot 2 : 47 i

x_{1, 2} = \frac{- 3 \pm 47 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 3 + 47 i}{2 \cdot 7}, x_{2} = \frac{- 3 - 47 i}{2 \cdot 7}

x = \frac{- 3 + 47 i}{2 \cdot 7} : - \frac{3}{14} + i \frac{47}{14}

x = \frac{- 3 - 47 i}{2 \cdot 7} : - \frac{3}{14} - i \frac{47}{14}

The solutions to the quadratic equation are:

x = - \frac{3}{14} + i \frac{47}{14}, x = - \frac{3}{14} - i \frac{47}{14}

x, \frac{x ^{2}}{4} + \frac{y ^{2}}{9} + \frac{z ^{2}}{9} = 1

x^{2} + (x + 2)^{2} = 452

4 x^{2} - 28 x + 45 = 0

4 x^{2} - 3 x + \frac{9}{16} = 0

7 x^{2} - 14 x + 1 = 0

What are the solutions to the equation 7x^2+3x+2=0 ?
The solutions to the equation 7x^2+3x+2=0 are x=-3/14+i(sqrt(47))/(14),x=-3/14-i(sqrt(47))/(14)
Find the zeros of 7x^2+3x+2=0
The zeros of 7x^2+3x+2=0 are x=-3/14+i(sqrt(47))/(14),x=-3/14-i(sqrt(47))/(14)