What are the solutions to the equation 6x^2-10x+5=0 ?

The solutions to the equation 6x^2-10x+5=0 are x= 5/6+i(sqrt(5))/6 ,x= 5/6-i(sqrt(5))/6

Find the zeros of 6x^2-10x+5=0

The zeros of 6x^2-10x+5=0 are x= 5/6+i(sqrt(5))/6 ,x= 5/6-i(sqrt(5))/6

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6 x^{2} - 10 x + 5 = 0

x = \frac{5}{6} + i \frac{5}{6}, x = \frac{5}{6} - i \frac{5}{6}

Solution steps

6 x^{2} - 10 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 6 \cdot 5}{2 \cdot 6}

Simplify

(- 10)^{2} - 4 \cdot 6 \cdot 5 : 25 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 5 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 5 i}{2 \cdot 6}, x_{2} = \frac{- ( - 10 ) - 2 5 i}{2 \cdot 6}

x = \frac{- ( - 10 ) + 2 5 i}{2 \cdot 6} : \frac{5}{6} + i \frac{5}{6}

x = \frac{- ( - 10 ) - 2 5 i}{2 \cdot 6} : \frac{5}{6} - i \frac{5}{6}

The solutions to the quadratic equation are:

x = \frac{5}{6} + i \frac{5}{6}, x = \frac{5}{6} - i \frac{5}{6}

9 v^{2} = 30 v - 25

x, x^{2} + 3 y^{2} - 6 x + 15 y + 84 = 0

(x - 9)^{2} + (x - 8)^{2} = x^{2}

(2 x + 1)^{2} = x + 2

2 - 8 x + 2 x^{2} = 4 - 3 x^{2} - 3 x

What are the solutions to the equation 6x^2-10x+5=0 ?
The solutions to the equation 6x^2-10x+5=0 are x= 5/6+i(sqrt(5))/6 ,x= 5/6-i(sqrt(5))/6
Find the zeros of 6x^2-10x+5=0
The zeros of 6x^2-10x+5=0 are x= 5/6+i(sqrt(5))/6 ,x= 5/6-i(sqrt(5))/6