What are the solutions to the equation 9x^2+4x+5=0 ?

The solutions to the equation 9x^2+4x+5=0 are x=-2/9+i(sqrt(41))/9 ,x=-2/9-i(sqrt(41))/9

Find the zeros of 9x^2+4x+5=0

The zeros of 9x^2+4x+5=0 are x=-2/9+i(sqrt(41))/9 ,x=-2/9-i(sqrt(41))/9

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

x = - \frac{2}{9} + i \frac{41}{9}, x = - \frac{2}{9} - i \frac{41}{9}

Solution steps

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

Solve with the quadratic formula

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

Simplify

4^{2} - 4 \cdot 9 \cdot 5 : 241 i

x_{1, 2} = \frac{- 4 \pm 2 41 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 4 + 2 41 i}{2 \cdot 9}, x_{2} = \frac{- 4 - 2 41 i}{2 \cdot 9}

x = \frac{- 4 + 2 41 i}{2 \cdot 9} : - \frac{2}{9} + i \frac{41}{9}

x = \frac{- 4 - 2 41 i}{2 \cdot 9} : - \frac{2}{9} - i \frac{41}{9}

The solutions to the quadratic equation are:

x = - \frac{2}{9} + i \frac{41}{9}, x = - \frac{2}{9} - i \frac{41}{9}

x^{2} + 2 x = 15

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

f^{2} + 2 f - 8 = 0

- 5 x^{2} + 600 x - 18000 = 0

(3 x + 2)^{2} = 8

What are the solutions to the equation 9x^2+4x+5=0 ?
The solutions to the equation 9x^2+4x+5=0 are x=-2/9+i(sqrt(41))/9 ,x=-2/9-i(sqrt(41))/9
Find the zeros of 9x^2+4x+5=0
The zeros of 9x^2+4x+5=0 are x=-2/9+i(sqrt(41))/9 ,x=-2/9-i(sqrt(41))/9