What are the solutions to the equation 5x^2+4x+3=0 ?

The solutions to the equation 5x^2+4x+3=0 are x=-2/5+i(sqrt(11))/5 ,x=-2/5-i(sqrt(11))/5

Find the zeros of 5x^2+4x+3=0

The zeros of 5x^2+4x+3=0 are x=-2/5+i(sqrt(11))/5 ,x=-2/5-i(sqrt(11))/5

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5 x^{2} + 4 x + 3 = 0

x = - \frac{2}{5} + i \frac{11}{5}, x = - \frac{2}{5} - i \frac{11}{5}

Solution steps

5 x^{2} + 4 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

Simplify

4^{2} - 4 \cdot 5 \cdot 3 : 211 i

x_{1, 2} = \frac{- 4 \pm 2 11 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 4 + 2 11 i}{2 \cdot 5}, x_{2} = \frac{- 4 - 2 11 i}{2 \cdot 5}

x = \frac{- 4 + 2 11 i}{2 \cdot 5} : - \frac{2}{5} + i \frac{11}{5}

x = \frac{- 4 - 2 11 i}{2 \cdot 5} : - \frac{2}{5} - i \frac{11}{5}

The solutions to the quadratic equation are:

x = - \frac{2}{5} + i \frac{11}{5}, x = - \frac{2}{5} - i \frac{11}{5}

\frac{12}{2 q} - \frac{6}{3 p}

0.06 y + 0.14 (3000 - y) = 0.42 y

\frac{1}{x ^{- 5} + y ^{- 2}}

1 - \frac{1}{3 ^{2}}

x + 8 > 2

What are the solutions to the equation 5x^2+4x+3=0 ?
The solutions to the equation 5x^2+4x+3=0 are x=-2/5+i(sqrt(11))/5 ,x=-2/5-i(sqrt(11))/5
Find the zeros of 5x^2+4x+3=0
The zeros of 5x^2+4x+3=0 are x=-2/5+i(sqrt(11))/5 ,x=-2/5-i(sqrt(11))/5