What are the solutions to the equation x^2-6x+14=0 ?

The solutions to the equation x^2-6x+14=0 are x=3+sqrt(5)i,x=3-sqrt(5)i

Find the zeros of x^2-6x+14=0

The zeros of x^2-6x+14=0 are x=3+sqrt(5)i,x=3-sqrt(5)i

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x^{2} - 6 x + 14 = 0

x = 3 + 5 i, x = 3 - 5 i

Solution steps

x^{2} - 6 x + 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 14}{2 \cdot 1}

Simplify

(- 6)^{2} - 4 \cdot 1 \cdot 14 : 25 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 3 + 5 i, x = 3 - 5 i

6 - 5

3 (- 2) + 4

\frac{6 !}{( 6 - 1 ) ! 1 !}

3 x - 7 = 20

0.4625 x^{2} + 193.076 x = 111926.78

What are the solutions to the equation x^2-6x+14=0 ?
The solutions to the equation x^2-6x+14=0 are x=3+sqrt(5)i,x=3-sqrt(5)i
Find the zeros of x^2-6x+14=0
The zeros of x^2-6x+14=0 are x=3+sqrt(5)i,x=3-sqrt(5)i