What are the solutions to the equation 0.5x^2-0.2x+0.2=0 ?

The solutions to the equation 0.5x^2-0.2x+0.2=0 are x= 1/5+i 3/5 ,x= 1/5-i 3/5

Find the zeros of 0.5x^2-0.2x+0.2=0

The zeros of 0.5x^2-0.2x+0.2=0 are x= 1/5+i 3/5 ,x= 1/5-i 3/5

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0.5 x^{2} - 0.2 x + 0.2 = 0

x = \frac{1}{5} + i \frac{3}{5}, x = \frac{1}{5} - i \frac{3}{5}

Solution steps

0.5 x^{2} - 0.2 x + 0.2 = 0

Multiply both sides by

10

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 5 \cdot 2}{2 \cdot 5}

Simplify

(- 2)^{2} - 4 \cdot 5 \cdot 2 : 6 i

x_{1, 2} = \frac{- ( - 2 ) \pm 6 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 6 i}{2 \cdot 5}, x_{2} = \frac{- ( - 2 ) - 6 i}{2 \cdot 5}

x = \frac{- ( - 2 ) + 6 i}{2 \cdot 5} : \frac{1}{5} + i \frac{3}{5}

x = \frac{- ( - 2 ) - 6 i}{2 \cdot 5} : \frac{1}{5} - i \frac{3}{5}

The solutions to the quadratic equation are:

x = \frac{1}{5} + i \frac{3}{5}, x = \frac{1}{5} - i \frac{3}{5}

x, y = x^{2} - 6 x + 8

8 x^{2} + 5 x - 1 = 0

4 m^{2} = - 6 + 5 m

(6 - x) (- 6 - x) + 36 = 0

4 x^{2} + 20 x + 25 = 0

What are the solutions to the equation 0.5x^2-0.2x+0.2=0 ?
The solutions to the equation 0.5x^2-0.2x+0.2=0 are x= 1/5+i 3/5 ,x= 1/5-i 3/5
Find the zeros of 0.5x^2-0.2x+0.2=0
The zeros of 0.5x^2-0.2x+0.2=0 are x= 1/5+i 3/5 ,x= 1/5-i 3/5