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

The solutions to the equation 2X^2-X+3=0 are X= 1/4+i(sqrt(23))/4 ,X= 1/4-i(sqrt(23))/4

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

The zeros of 2X^2-X+3=0 are X= 1/4+i(sqrt(23))/4 ,X= 1/4-i(sqrt(23))/4

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2 X^{2} - X + 3 = 0

X = \frac{1}{4} + i \frac{23}{4}, X = \frac{1}{4} - i \frac{23}{4}

Solution steps

2 X^{2} - X + 3 = 0

Solve with the quadratic formula

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

Simplify

(- 1)^{2} - 4 \cdot 2 \cdot 3 : 23 i

X_{1, 2} = \frac{- ( - 1 ) \pm 23 i}{2 \cdot 2}

Separate the solutions

X_{1} = \frac{- ( - 1 ) + 23 i}{2 \cdot 2}, X_{2} = \frac{- ( - 1 ) - 23 i}{2 \cdot 2}

X = \frac{- ( - 1 ) + 23 i}{2 \cdot 2} : \frac{1}{4} + i \frac{23}{4}

X = \frac{- ( - 1 ) - 23 i}{2 \cdot 2} : \frac{1}{4} - i \frac{23}{4}

The solutions to the quadratic equation are:

X = \frac{1}{4} + i \frac{23}{4}, X = \frac{1}{4} - i \frac{23}{4}

x, x^{2} + y^{2} - 2 h x = 0

n^{2} - 3 n - 18 = 0

15 x^{2} - 9 = 0

b^{2} - 5 b - 50 = 0

3 s^{2} + 9 s + 2 = 0

What are the solutions to the equation 2X^2-X+3=0 ?
The solutions to the equation 2X^2-X+3=0 are X= 1/4+i(sqrt(23))/4 ,X= 1/4-i(sqrt(23))/4
Find the zeros of 2X^2-X+3=0
The zeros of 2X^2-X+3=0 are X= 1/4+i(sqrt(23))/4 ,X= 1/4-i(sqrt(23))/4