What are the solutions to the equation 2x^2-2x+5=0 ?

The solutions to the equation 2x^2-2x+5=0 are x= 1/2+i 3/2 ,x= 1/2-i 3/2

Find the zeros of 2x^2-2x+5=0

The zeros of 2x^2-2x+5=0 are x= 1/2+i 3/2 ,x= 1/2-i 3/2

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2 x^{2} - 2 x + 5 = 0

x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

Solution steps

2 x^{2} - 2 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 2 \cdot 5}{2 \cdot 2}

Simplify

(- 2)^{2} - 4 \cdot 2 \cdot 5 : 6 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

5 n - 8 > 6

4 (x - 3) = 5 x + 2

\frac{9}{4} \cdot \frac{2}{3}

x^{2} - 4 x + 4 = 100

(x + 7)^{2} = 36

What are the solutions to the equation 2x^2-2x+5=0 ?
The solutions to the equation 2x^2-2x+5=0 are x= 1/2+i 3/2 ,x= 1/2-i 3/2
Find the zeros of 2x^2-2x+5=0
The zeros of 2x^2-2x+5=0 are x= 1/2+i 3/2 ,x= 1/2-i 3/2