What are the solutions to the equation 0=x^2-2x+6 ?

The solutions to the equation 0=x^2-2x+6 are x=1+sqrt(5)i,x=1-sqrt(5)i

Find the zeros of 0=x^2-2x+6

The zeros of 0=x^2-2x+6 are x=1+sqrt(5)i,x=1-sqrt(5)i

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0 = x^{2} - 2 x + 6

x = 1 + 5 i, x = 1 - 5 i

Solution steps

0 = x^{2} - 2 x + 6

Switch sides

x^{2} - 2 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

Simplify

(- 2)^{2} - 4 \cdot 1 \cdot 6 : 25 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1 + 5 i, x = 1 - 5 i

x^{2} - 20 x + 72 = - 3 x - 3 x

x, 2 x^{2} + 5 x + 3 = 0

2 - 9 x + 10 x^{2} = 0

6 x^{2} + 12 x - 15 = 0

y, 4 x^{2} + 9 y^{2} = 36

What are the solutions to the equation 0=x^2-2x+6 ?
The solutions to the equation 0=x^2-2x+6 are x=1+sqrt(5)i,x=1-sqrt(5)i
Find the zeros of 0=x^2-2x+6
The zeros of 0=x^2-2x+6 are x=1+sqrt(5)i,x=1-sqrt(5)i