What are the solutions to the equation 2x^2-6x+5=0 ?

The solutions to the equation 2x^2-6x+5=0 are x= 3/2+i 1/2 ,x= 3/2-i 1/2

Find the zeros of 2x^2-6x+5=0

The zeros of 2x^2-6x+5=0 are x= 3/2+i 1/2 ,x= 3/2-i 1/2

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2 x^{2} - 6 x + 5 = 0

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

Solution steps

2 x^{2} - 6 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 \cdot 5}{2 \cdot 2}

Simplify

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

3 x^{2} = 507

x^{2} + (\frac{3}{5})^{2} = 1

x + x^{2}

35 x^{2} + 63 x^{4}

1 - \frac{3}{8}

What are the solutions to the equation 2x^2-6x+5=0 ?
The solutions to the equation 2x^2-6x+5=0 are x= 3/2+i 1/2 ,x= 3/2-i 1/2
Find the zeros of 2x^2-6x+5=0
The zeros of 2x^2-6x+5=0 are x= 3/2+i 1/2 ,x= 3/2-i 1/2