What are the solutions to the equation x^2-4x+13=0 ?

The solutions to the equation x^2-4x+13=0 are x=2+3i,x=2-3i

Find the zeros of x^2-4x+13=0

The zeros of x^2-4x+13=0 are x=2+3i,x=2-3i

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x^{2} - 4 x + 13 = 0

x = 2 + 3 i, x = 2 - 3 i

Solution steps

x^{2} - 4 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot 13}{2 \cdot 1}

Simplify

(- 4)^{2} - 4 \cdot 1 \cdot 13 : 6 i

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

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 6 i}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 6 i}{2 \cdot 1}

x = \frac{- ( - 4 ) + 6 i}{2 \cdot 1} : 2 + 3 i

x = \frac{- ( - 4 ) - 6 i}{2 \cdot 1} : 2 - 3 i

The solutions to the quadratic equation are:

x = 2 + 3 i, x = 2 - 3 i

\frac{3 ^{2}}{2 ^{3}}

(x - 3)^{2} - 4 x^{2}

360 = - 16 (3)^{2} + x (3) + 434

- 1 + 7

What are the solutions to the equation x^2-4x+13=0 ?
The solutions to the equation x^2-4x+13=0 are x=2+3i,x=2-3i
Find the zeros of x^2-4x+13=0
The zeros of x^2-4x+13=0 are x=2+3i,x=2-3i