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

The solutions to the equation 4x^2+4x+6=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

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

The zeros of 4x^2+4x+6=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

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

x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

Solution steps

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

Solve with the quadratic formula

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

Simplify

4^{2} - 4 \cdot 4 \cdot 6 : 45 i

x_{1, 2} = \frac{- 4 \pm 4 5 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 4 + 4 5 i}{2 \cdot 4}, x_{2} = \frac{- 4 - 4 5 i}{2 \cdot 4}

x = \frac{- 4 + 4 5 i}{2 \cdot 4} : - \frac{1}{2} + i \frac{5}{2}

x = \frac{- 4 - 4 5 i}{2 \cdot 4} : - \frac{1}{2} - i \frac{5}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

3 x^{2} - 18 x + 24 = 0

x, - 2 x^{2} + 3 x - 5 = 0

0 = - x^{2} + 64

\frac{x ^{2}}{4} = 9

x^{2} + 10 x = - 41

What are the solutions to the equation 4x^2+4x+6=0 ?
The solutions to the equation 4x^2+4x+6=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2
Find the zeros of 4x^2+4x+6=0
The zeros of 4x^2+4x+6=0 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2