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

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

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

The zeros of 4x^2+6x=-9 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

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

Move

9

to the left side

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}

7 x^{2} = 56 x

8 c^{2} - 14 c + 5 = 0

p^{2} + 2 p + 8 = 0

8 x - 3 x^{2} = 0

a = 2 π r^{2} + 2 π

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