What are the solutions to the equation 5x^2-10x+10=0 ?

The solutions to the equation 5x^2-10x+10=0 are x=1+i,x=1-i

Find the zeros of 5x^2-10x+10=0

The zeros of 5x^2-10x+10=0 are x=1+i,x=1-i

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5 x^{2} - 10 x + 10 = 0

x = 1 + i, x = 1 - i

Solution steps

5 x^{2} - 10 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 10}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 10 : 10 i

x_{1, 2} = \frac{- ( - 10 ) \pm 10 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 10 i}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 10 i}{2 \cdot 5}

x = \frac{- ( - 10 ) + 10 i}{2 \cdot 5} : 1 + i

x = \frac{- ( - 10 ) - 10 i}{2 \cdot 5} : 1 - i

The solutions to the quadratic equation are:

x = 1 + i, x = 1 - i

x^{2} - 4 x - 5 x = - 20

2 (x - 5)^{2} = 18

2 (x - 5)^{2} = 36

3 (x - 9)^{2} = - 180

x, y^{2} + 4 x^{2} + 16 = 0

What are the solutions to the equation 5x^2-10x+10=0 ?
The solutions to the equation 5x^2-10x+10=0 are x=1+i,x=1-i
Find the zeros of 5x^2-10x+10=0
The zeros of 5x^2-10x+10=0 are x=1+i,x=1-i