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

The solutions to the equation 4x^2+2x+9=0 are x=-1/4+i(sqrt(35))/4 ,x=-1/4-i(sqrt(35))/4

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

The zeros of 4x^2+2x+9=0 are x=-1/4+i(sqrt(35))/4 ,x=-1/4-i(sqrt(35))/4

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

x = - \frac{1}{4} + i \frac{35}{4}, x = - \frac{1}{4} - i \frac{35}{4}

Solution steps

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

Solve with the quadratic formula

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

Simplify

2^{2} - 4 \cdot 4 \cdot 9 : 235 i

x_{1, 2} = \frac{- 2 \pm 2 35 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 2 + 2 35 i}{2 \cdot 4}, x_{2} = \frac{- 2 - 2 35 i}{2 \cdot 4}

x = \frac{- 2 + 2 35 i}{2 \cdot 4} : - \frac{1}{4} + i \frac{35}{4}

x = \frac{- 2 - 2 35 i}{2 \cdot 4} : - \frac{1}{4} - i \frac{35}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{4} + i \frac{35}{4}, x = - \frac{1}{4} - i \frac{35}{4}

4 x^{2} + 24 x = - 39

x^{2} - 3 x - 4 = 14

2 x^{2} + 11 x = - 20

x^{2} - 12 x - 32 = 0

x^{2} - 2 x = 2 x

What are the solutions to the equation 4x^2+2x+9=0 ?
The solutions to the equation 4x^2+2x+9=0 are x=-1/4+i(sqrt(35))/4 ,x=-1/4-i(sqrt(35))/4
Find the zeros of 4x^2+2x+9=0
The zeros of 4x^2+2x+9=0 are x=-1/4+i(sqrt(35))/4 ,x=-1/4-i(sqrt(35))/4