What are the solutions to the equation x^2+0.8x+1=0 ?

The solutions to the equation x^2+0.8x+1=0 are x=-2/5+i(sqrt(21))/5 ,x=-2/5-i(sqrt(21))/5

Find the zeros of x^2+0.8x+1=0

The zeros of x^2+0.8x+1=0 are x=-2/5+i(sqrt(21))/5 ,x=-2/5-i(sqrt(21))/5

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x^{2} + 0.8 x + 1 = 0

x = - \frac{2}{5} + i \frac{21}{5}, x = - \frac{2}{5} - i \frac{21}{5}

Solution steps

x^{2} + 0.8 x + 1 = 0

Multiply both sides by

10

10 x^{2} + 8 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 10 \cdot 10}{2 \cdot 10}

Simplify

8^{2} - 4 \cdot 10 \cdot 10 : 421 i

x_{1, 2} = \frac{- 8 \pm 4 21 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 8 + 4 21 i}{2 \cdot 10}, x_{2} = \frac{- 8 - 4 21 i}{2 \cdot 10}

x = \frac{- 8 + 4 21 i}{2 \cdot 10} : - \frac{2}{5} + i \frac{21}{5}

x = \frac{- 8 - 4 21 i}{2 \cdot 10} : - \frac{2}{5} - i \frac{21}{5}

The solutions to the quadratic equation are:

x = - \frac{2}{5} + i \frac{21}{5}, x = - \frac{2}{5} - i \frac{21}{5}

x^{2} + (\frac{7}{4})^{2} = 1

4 (x - 7)^{2} = 37

x, x^{2} + 11 x + \frac{121}{4} = \frac{125}{4}

0.036 s^{2} + 1200 s + 30000000 = 0

v^{2} - 5 = 8 - 2 v^{2}

What are the solutions to the equation x^2+0.8x+1=0 ?
The solutions to the equation x^2+0.8x+1=0 are x=-2/5+i(sqrt(21))/5 ,x=-2/5-i(sqrt(21))/5
Find the zeros of x^2+0.8x+1=0
The zeros of x^2+0.8x+1=0 are x=-2/5+i(sqrt(21))/5 ,x=-2/5-i(sqrt(21))/5