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

The solutions to the equation 4x^2+9x+9=0 are x=-9/8+i(3sqrt(7))/8 ,x=-9/8-i(3sqrt(7))/8

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

The zeros of 4x^2+9x+9=0 are x=-9/8+i(3sqrt(7))/8 ,x=-9/8-i(3sqrt(7))/8

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

x = - \frac{9}{8} + i \frac{3 7}{8}, x = - \frac{9}{8} - i \frac{3 7}{8}

Solution steps

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

Solve with the quadratic formula

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

Simplify

9^{2} - 4 \cdot 4 \cdot 9 : 37 i

x_{1, 2} = \frac{- 9 \pm 3 7 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 9 + 3 7 i}{2 \cdot 4}, x_{2} = \frac{- 9 - 3 7 i}{2 \cdot 4}

x = \frac{- 9 + 3 7 i}{2 \cdot 4} : - \frac{9}{8} + i \frac{3 7}{8}

x = \frac{- 9 - 3 7 i}{2 \cdot 4} : - \frac{9}{8} - i \frac{3 7}{8}

The solutions to the quadratic equation are:

x = - \frac{9}{8} + i \frac{3 7}{8}, x = - \frac{9}{8} - i \frac{3 7}{8}

x^{2} = 10 x - 41

2 (m - 3)^{2} = 3 (m - 2)^{2}

n^{2} - 2 n - 4 = 0

2 (6 x + 2) = 25 (x - 6)^{2}

w^{2} - 6 w + 8 = 0

What are the solutions to the equation 4x^2+9x+9=0 ?
The solutions to the equation 4x^2+9x+9=0 are x=-9/8+i(3sqrt(7))/8 ,x=-9/8-i(3sqrt(7))/8
Find the zeros of 4x^2+9x+9=0
The zeros of 4x^2+9x+9=0 are x=-9/8+i(3sqrt(7))/8 ,x=-9/8-i(3sqrt(7))/8