What are the solutions to the equation 5x^2-5x+5=0 ?

The solutions to the equation 5x^2-5x+5=0 are x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2

Find the zeros of 5x^2-5x+5=0

The zeros of 5x^2-5x+5=0 are x= 1/2+i(sqrt(3))/2 ,x= 1/2-i(sqrt(3))/2

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

x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 5)^{2} - 4 \cdot 5 \cdot 5 : 53 i

x_{1, 2} = \frac{- ( - 5 ) \pm 5 3 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 5 3 i}{2 \cdot 5}, x_{2} = \frac{- ( - 5 ) - 5 3 i}{2 \cdot 5}

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

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

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

2 (x - 5)^{2} + 7 = 79

9 x^{2} + 8 x - 13 = 0

- 4 x^{2} - 72 x - 68 = 0

x^{2} - 7 x + 12 = 0

3 x^{2} = x^{2} + 2

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