What are the solutions to the equation 4s^2+16s+25=0 ?

The solutions to the equation 4s^2+16s+25=0 are s=-2+i 3/2 ,s=-2-i 3/2

Find the zeros of 4s^2+16s+25=0

The zeros of 4s^2+16s+25=0 are s=-2+i 3/2 ,s=-2-i 3/2

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4 s^{2} + 16 s + 25 = 0

s = - 2 + i \frac{3}{2}, s = - 2 - i \frac{3}{2}

Solution steps

4 s^{2} + 16 s + 25 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 \cdot 25}{2 \cdot 4}

Simplify

1 6^{2} - 4 \cdot 4 \cdot 25 : 12 i

s_{1, 2} = \frac{- 16 \pm 12 i}{2 \cdot 4}

Separate the solutions

s_{1} = \frac{- 16 + 12 i}{2 \cdot 4}, s_{2} = \frac{- 16 - 12 i}{2 \cdot 4}

s = \frac{- 16 + 12 i}{2 \cdot 4} : - 2 + i \frac{3}{2}

s = \frac{- 16 - 12 i}{2 \cdot 4} : - 2 - i \frac{3}{2}

The solutions to the quadratic equation are:

s = - 2 + i \frac{3}{2}, s = - 2 - i \frac{3}{2}

- 2 x^{2} + 12 x = 0

45 x^{2} - 9 x - 9

6 x^{2} - 7 x - 2 = 0

1 + 14 x^{2} y + 49 x^{4} y^{2}

48 = 10 w - 7 w

What are the solutions to the equation 4s^2+16s+25=0 ?
The solutions to the equation 4s^2+16s+25=0 are s=-2+i 3/2 ,s=-2-i 3/2
Find the zeros of 4s^2+16s+25=0
The zeros of 4s^2+16s+25=0 are s=-2+i 3/2 ,s=-2-i 3/2