What are the solutions to the equation 4x^2+6x+3=0 ?

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

Find the zeros of 4x^2+6x+3=0

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

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4 x^{2} + 6 x + 3 = 0

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

Solution steps

4 x^{2} + 6 x + 3 = 0

Solve with the quadratic formula

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

Simplify

6^{2} - 4 \cdot 4 \cdot 3 : 23 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x^{2} + 4 x - 13 = 0

x^{2} + 12 x = - 20

10 p^{2} - 2 p + 12 = 2

x^{2} - 5 x = 3

x^{2} - 12 x + 35 = 1760

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