What are the solutions to the equation 7x^2+8x+3=0 ?

The solutions to the equation 7x^2+8x+3=0 are x=-4/7+i(sqrt(5))/7 ,x=-4/7-i(sqrt(5))/7

Find the zeros of 7x^2+8x+3=0

The zeros of 7x^2+8x+3=0 are x=-4/7+i(sqrt(5))/7 ,x=-4/7-i(sqrt(5))/7

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7 x^{2} + 8 x + 3 = 0

x = - \frac{4}{7} + i \frac{5}{7}, x = - \frac{4}{7} - i \frac{5}{7}

Solution steps

7 x^{2} + 8 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 7 \cdot 3}{2 \cdot 7}

Simplify

8^{2} - 4 \cdot 7 \cdot 3 : 25 i

x_{1, 2} = \frac{- 8 \pm 2 5 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 8 + 2 5 i}{2 \cdot 7}, x_{2} = \frac{- 8 - 2 5 i}{2 \cdot 7}

x = \frac{- 8 + 2 5 i}{2 \cdot 7} : - \frac{4}{7} + i \frac{5}{7}

x = \frac{- 8 - 2 5 i}{2 \cdot 7} : - \frac{4}{7} - i \frac{5}{7}

The solutions to the quadratic equation are:

x = - \frac{4}{7} + i \frac{5}{7}, x = - \frac{4}{7} - i \frac{5}{7}

3 x^{2} - 9 x - 84 = 0

8 x^{2} = - 128

y, x^{2} + y^{2} - 5 = 2 x y + y^{2} - 5

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

x^{2} + 6 = 8 x

What are the solutions to the equation 7x^2+8x+3=0 ?
The solutions to the equation 7x^2+8x+3=0 are x=-4/7+i(sqrt(5))/7 ,x=-4/7-i(sqrt(5))/7
Find the zeros of 7x^2+8x+3=0
The zeros of 7x^2+8x+3=0 are x=-4/7+i(sqrt(5))/7 ,x=-4/7-i(sqrt(5))/7