What are the solutions to the equation 4s^2+s+1=0 ?

The solutions to the equation 4s^2+s+1=0 are s=-1/8+i(sqrt(15))/8 ,s=-1/8-i(sqrt(15))/8

Find the zeros of 4s^2+s+1=0

The zeros of 4s^2+s+1=0 are s=-1/8+i(sqrt(15))/8 ,s=-1/8-i(sqrt(15))/8

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4 s^{2} + s + 1 = 0

s = - \frac{1}{8} + i \frac{15}{8}, s = - \frac{1}{8} - i \frac{15}{8}

Solution steps

4 s^{2} + s + 1 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 4 \cdot 1 : 15 i

s_{1, 2} = \frac{- 1 \pm 15 i}{2 \cdot 4}

Separate the solutions

s_{1} = \frac{- 1 + 15 i}{2 \cdot 4}, s_{2} = \frac{- 1 - 15 i}{2 \cdot 4}

s = \frac{- 1 + 15 i}{2 \cdot 4} : - \frac{1}{8} + i \frac{15}{8}

s = \frac{- 1 - 15 i}{2 \cdot 4} : - \frac{1}{8} - i \frac{15}{8}

The solutions to the quadratic equation are:

s = - \frac{1}{8} + i \frac{15}{8}, s = - \frac{1}{8} - i \frac{15}{8}

(2 x + 5) (- m x + 9) = 0

x^{2} = 8 - 2 x

y, 3 x^{2} + 5 y^{2} - 6 x - 20 y = - 25

104 = 124 x - 14 x^{2}

2 c^{2} - 12 c + 7 = - 4 c

What are the solutions to the equation 4s^2+s+1=0 ?
The solutions to the equation 4s^2+s+1=0 are s=-1/8+i(sqrt(15))/8 ,s=-1/8-i(sqrt(15))/8
Find the zeros of 4s^2+s+1=0
The zeros of 4s^2+s+1=0 are s=-1/8+i(sqrt(15))/8 ,s=-1/8-i(sqrt(15))/8