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

The solutions to the equation solvefor x,x^2-x+4=0 are x= 1/2+i(sqrt(15))/2 ,x= 1/2-i(sqrt(15))/2

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

The zeros of solvefor x,x^2-x+4=0 are x= 1/2+i(sqrt(15))/2 ,x= 1/2-i(sqrt(15))/2

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

x = \frac{1}{2} + i \frac{15}{2}, x = \frac{1}{2} - i \frac{15}{2}

Solution steps

x^{2} - x + 4 = 0

Solve with the quadratic formula

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

Simplify

(- 1)^{2} - 4 \cdot 1 \cdot 4 : 15 i

x_{1, 2} = \frac{- ( - 1 ) \pm 15 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 15 i}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 15 i}{2 \cdot 1}

x = \frac{- ( - 1 ) + 15 i}{2 \cdot 1} : \frac{1}{2} + i \frac{15}{2}

x = \frac{- ( - 1 ) - 15 i}{2 \cdot 1} : \frac{1}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{15}{2}, x = \frac{1}{2} - i \frac{15}{2}

x^{2} + 8 x + 2 = - 10

8 x + 3 x^{2} + 10 = 2

v^{2} - 4 v + 26 = 4

12 x = x^{2}

- 6 x^{2} + 7 x + 3 = 0

What are the solutions to the equation solvefor x,x^2-x+4=0 ?
The solutions to the equation solvefor x,x^2-x+4=0 are x= 1/2+i(sqrt(15))/2 ,x= 1/2-i(sqrt(15))/2
Find the zeros of solvefor x,x^2-x+4=0
The zeros of solvefor x,x^2-x+4=0 are x= 1/2+i(sqrt(15))/2 ,x= 1/2-i(sqrt(15))/2