What are the solutions to the equation 8a^2+8a+2.4=0 ?

The solutions to the equation 8a^2+8a+2.4=0 are a=-1/2+i(sqrt(5))/(10),a=-1/2-i(sqrt(5))/(10)

Find the zeros of 8a^2+8a+2.4=0

The zeros of 8a^2+8a+2.4=0 are a=-1/2+i(sqrt(5))/(10),a=-1/2-i(sqrt(5))/(10)

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8 a^{2} + 8 a + 2.4 = 0

a = - \frac{1}{2} + i \frac{5}{10}, a = - \frac{1}{2} - i \frac{5}{10}

Solution steps

8 a^{2} + 8 a + 2.4 = 0

Multiply both sides by

10

80 a^{2} + 80 a + 24 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 80 \pm 8 0 ^{2} - 4 \cdot 80 \cdot 24}{2 \cdot 80}

Simplify

8 0^{2} - 4 \cdot 80 \cdot 24 : 165 i

a_{1, 2} = \frac{- 80 \pm 16 5 i}{2 \cdot 80}

Separate the solutions

a_{1} = \frac{- 80 + 16 5 i}{2 \cdot 80}, a_{2} = \frac{- 80 - 16 5 i}{2 \cdot 80}

a = \frac{- 80 + 16 5 i}{2 \cdot 80} : - \frac{1}{2} + i \frac{5}{10}

a = \frac{- 80 - 16 5 i}{2 \cdot 80} : - \frac{1}{2} - i \frac{5}{10}

The solutions to the quadratic equation are:

a = - \frac{1}{2} + i \frac{5}{10}, a = - \frac{1}{2} - i \frac{5}{10}

- \frac{5}{8} + (- \frac{8}{5})

a^{5} - 6 a^{4} + 16 a^{3} - 32 a^{2} + 48 a - 32

1.25 \cdot 14.9 + 0.75 \cdot 1.1 + 14.9 \cdot 0.75 + 1.1 \cdot 1.25

0.5 (8 \cdot 1 0^{5})

18 x^{3} + 30 x^{2} + 3 x + 5

What are the solutions to the equation 8a^2+8a+2.4=0 ?
The solutions to the equation 8a^2+8a+2.4=0 are a=-1/2+i(sqrt(5))/(10),a=-1/2-i(sqrt(5))/(10)
Find the zeros of 8a^2+8a+2.4=0
The zeros of 8a^2+8a+2.4=0 are a=-1/2+i(sqrt(5))/(10),a=-1/2-i(sqrt(5))/(10)