What are the solutions to the equation 16x^2+16x+5=0 ?

The solutions to the equation 16x^2+16x+5=0 are x=-1/2+i 1/4 ,x=-1/2-i 1/4

Find the zeros of 16x^2+16x+5=0

The zeros of 16x^2+16x+5=0 are x=-1/2+i 1/4 ,x=-1/2-i 1/4

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16 x^{2} + 16 x + 5 = 0

x = - \frac{1}{2} + i \frac{1}{4}, x = - \frac{1}{2} - i \frac{1}{4}

Solution steps

16 x^{2} + 16 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 16 \cdot 5}{2 \cdot 16}

Simplify

1 6^{2} - 4 \cdot 16 \cdot 5 : 8 i

x_{1, 2} = \frac{- 16 \pm 8 i}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- 16 + 8 i}{2 \cdot 16}, x_{2} = \frac{- 16 - 8 i}{2 \cdot 16}

x = \frac{- 16 + 8 i}{2 \cdot 16} : - \frac{1}{2} + i \frac{1}{4}

x = \frac{- 16 - 8 i}{2 \cdot 16} : - \frac{1}{2} - i \frac{1}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{1}{4}, x = - \frac{1}{2} - i \frac{1}{4}

x^{2} + x - 132 = 0

(x + 8)^{2} = 25

4 x^{2} + 4 x = - 5

3 (x + 4)^{2} + 47 = 50

- x^{2} - 2 x + 15 = 0

What are the solutions to the equation 16x^2+16x+5=0 ?
The solutions to the equation 16x^2+16x+5=0 are x=-1/2+i 1/4 ,x=-1/2-i 1/4
Find the zeros of 16x^2+16x+5=0
The zeros of 16x^2+16x+5=0 are x=-1/2+i 1/4 ,x=-1/2-i 1/4