What are the solutions to the equation 5x^2+18x+22=0 ?

The solutions to the equation 5x^2+18x+22=0 are x=-9/5+i(sqrt(29))/5 ,x=-9/5-i(sqrt(29))/5

Find the zeros of 5x^2+18x+22=0

The zeros of 5x^2+18x+22=0 are x=-9/5+i(sqrt(29))/5 ,x=-9/5-i(sqrt(29))/5

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5 x^{2} + 18 x + 22 = 0

x = - \frac{9}{5} + i \frac{29}{5}, x = - \frac{9}{5} - i \frac{29}{5}

Solution steps

5 x^{2} + 18 x + 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 5 \cdot 22}{2 \cdot 5}

Simplify

1 8^{2} - 4 \cdot 5 \cdot 22 : 229 i

x_{1, 2} = \frac{- 18 \pm 2 29 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 18 + 2 29 i}{2 \cdot 5}, x_{2} = \frac{- 18 - 2 29 i}{2 \cdot 5}

x = \frac{- 18 + 2 29 i}{2 \cdot 5} : - \frac{9}{5} + i \frac{29}{5}

x = \frac{- 18 - 2 29 i}{2 \cdot 5} : - \frac{9}{5} - i \frac{29}{5}

The solutions to the quadratic equation are:

x = - \frac{9}{5} + i \frac{29}{5}, x = - \frac{9}{5} - i \frac{29}{5}

x^{2} + 12 x + 27 = 0

5 x^{2} - 8 x - 7 = 0

- 3 x^{2} - 14 x + 80 = 0

30 u - 25 = 9 u^{2}

y, x^{2} + x y + y^{2} - 6 = 0

What are the solutions to the equation 5x^2+18x+22=0 ?
The solutions to the equation 5x^2+18x+22=0 are x=-9/5+i(sqrt(29))/5 ,x=-9/5-i(sqrt(29))/5
Find the zeros of 5x^2+18x+22=0
The zeros of 5x^2+18x+22=0 are x=-9/5+i(sqrt(29))/5 ,x=-9/5-i(sqrt(29))/5