What are the solutions to the equation 5x^2+10x+9=0 ?

The solutions to the equation 5x^2+10x+9=0 are x=-1+i(2sqrt(5))/5 ,x=-1-i(2sqrt(5))/5

Find the zeros of 5x^2+10x+9=0

The zeros of 5x^2+10x+9=0 are x=-1+i(2sqrt(5))/5 ,x=-1-i(2sqrt(5))/5

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5 x^{2} + 10 x + 9 = 0

x = - 1 + i \frac{2 5}{5}, x = - 1 - i \frac{2 5}{5}

Solution steps

5 x^{2} + 10 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 9}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 9 : 45 i

x_{1, 2} = \frac{- 10 \pm 4 5 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 4 5 i}{2 \cdot 5}, x_{2} = \frac{- 10 - 4 5 i}{2 \cdot 5}

x = \frac{- 10 + 4 5 i}{2 \cdot 5} : - 1 + i \frac{2 5}{5}

x = \frac{- 10 - 4 5 i}{2 \cdot 5} : - 1 - i \frac{2 5}{5}

The solutions to the quadratic equation are:

x = - 1 + i \frac{2 5}{5}, x = - 1 - i \frac{2 5}{5}

25 s^{2} + 60 s t + 36 t^{2}

ln (x) \geq 3

264

(x^{\frac{4}{3}} x^{\frac{2}{3}})^{\frac{1}{3}}

\frac{a}{a - b} - \frac{2 ab}{a ^{2} - b ^{2}}

What are the solutions to the equation 5x^2+10x+9=0 ?
The solutions to the equation 5x^2+10x+9=0 are x=-1+i(2sqrt(5))/5 ,x=-1-i(2sqrt(5))/5
Find the zeros of 5x^2+10x+9=0
The zeros of 5x^2+10x+9=0 are x=-1+i(2sqrt(5))/5 ,x=-1-i(2sqrt(5))/5