What are the solutions to the equation 4x^2+6x+9=0 ?

The solutions to the equation 4x^2+6x+9=0 are x=-3/4+i(3sqrt(3))/4 ,x=-3/4-i(3sqrt(3))/4

Find the zeros of 4x^2+6x+9=0

The zeros of 4x^2+6x+9=0 are x=-3/4+i(3sqrt(3))/4 ,x=-3/4-i(3sqrt(3))/4

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4 x^{2} + 6 x + 9 = 0

x = - \frac{3}{4} + i \frac{3 3}{4}, x = - \frac{3}{4} - i \frac{3 3}{4}

Solution steps

4 x^{2} + 6 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 4 \cdot 9}{2 \cdot 4}

Simplify

6^{2} - 4 \cdot 4 \cdot 9 : 63 i

x_{1, 2} = \frac{- 6 \pm 6 3 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 6 + 6 3 i}{2 \cdot 4}, x_{2} = \frac{- 6 - 6 3 i}{2 \cdot 4}

x = \frac{- 6 + 6 3 i}{2 \cdot 4} : - \frac{3}{4} + i \frac{3 3}{4}

x = \frac{- 6 - 6 3 i}{2 \cdot 4} : - \frac{3}{4} - i \frac{3 3}{4}

The solutions to the quadratic equation are:

x = - \frac{3}{4} + i \frac{3 3}{4}, x = - \frac{3}{4} - i \frac{3 3}{4}

14 x^{2} + 33 x + 18

3 (x + 4) - 2 (2 + 2 x) = 3 (x - 6 x + 12 + 2)

3 (h - 4) + 2 h - 5 + 2 (h + 1) = 9

2 x^{2} - 11 x + 12 = 0

2 x^{2} + 7 x + 1 = 0

What are the solutions to the equation 4x^2+6x+9=0 ?
The solutions to the equation 4x^2+6x+9=0 are x=-3/4+i(3sqrt(3))/4 ,x=-3/4-i(3sqrt(3))/4
Find the zeros of 4x^2+6x+9=0
The zeros of 4x^2+6x+9=0 are x=-3/4+i(3sqrt(3))/4 ,x=-3/4-i(3sqrt(3))/4