What are the solutions to the equation y^2-y+3=0 ?

The solutions to the equation y^2-y+3=0 are y= 1/2+i(sqrt(11))/2 ,y= 1/2-i(sqrt(11))/2

Find the zeros of y^2-y+3=0

The zeros of y^2-y+3=0 are y= 1/2+i(sqrt(11))/2 ,y= 1/2-i(sqrt(11))/2

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y^{2} - y + 3 = 0

y = \frac{1}{2} + i \frac{11}{2}, y = \frac{1}{2} - i \frac{11}{2}

Solution steps

y^{2} - y + 3 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot 3}{2 \cdot 1}

Simplify

(- 1)^{2} - 4 \cdot 1 \cdot 3 : 11 i

y_{1, 2} = \frac{- ( - 1 ) \pm 11 i}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 1 ) + 11 i}{2 \cdot 1}, y_{2} = \frac{- ( - 1 ) - 11 i}{2 \cdot 1}

y = \frac{- ( - 1 ) + 11 i}{2 \cdot 1} : \frac{1}{2} + i \frac{11}{2}

y = \frac{- ( - 1 ) - 11 i}{2 \cdot 1} : \frac{1}{2} - i \frac{11}{2}

The solutions to the quadratic equation are:

y = \frac{1}{2} + i \frac{11}{2}, y = \frac{1}{2} - i \frac{11}{2}

8 x^{2} - 4 x - 24 = 0

- 6 x = x^{2} + 9

x, f = I n (3 x^{2} - 5 x + 2)

x^{2} + 2 x = - 15

x^{2} - 1 = 0

What are the solutions to the equation y^2-y+3=0 ?
The solutions to the equation y^2-y+3=0 are y= 1/2+i(sqrt(11))/2 ,y= 1/2-i(sqrt(11))/2
Find the zeros of y^2-y+3=0
The zeros of y^2-y+3=0 are y= 1/2+i(sqrt(11))/2 ,y= 1/2-i(sqrt(11))/2