What are the solutions to the equation 5x^2-10x+9=0 ?

The solutions to the equation 5x^2-10x+9=0 are x=1+i(2sqrt(5))/5 ,x=1-i(2sqrt(5))/5

Find the zeros of 5x^2-10x+9=0

The zeros of 5x^2-10x+9=0 are x=1+i(2sqrt(5))/5 ,x=1-i(2sqrt(5))/5

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5 x^{2} - 10 x + 9 = 0

x = 1 + i \frac{2 5}{5}, x = 1 - i \frac{2 5}{5}

Solution steps

5 x^{2} - 10 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 9}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 9 : 45 i

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

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 5 i}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 4 5 i}{2 \cdot 5}

x = \frac{- ( - 10 ) + 4 5 i}{2 \cdot 5} : 1 + i \frac{2 5}{5}

x = \frac{- ( - 10 ) - 4 5 i}{2 \cdot 5} : 1 - i \frac{2 5}{5}

The solutions to the quadratic equation are:

x = 1 + i \frac{2 5}{5}, x = 1 - i \frac{2 5}{5}

2 x^{2} - 4 x = 4

6 x^{2} = - 24 x

0 = x^{2} - x - 30

k (k + 5) = 19

x^{2} - 3 x + 2 = x - 1

What are the solutions to the equation 5x^2-10x+9=0 ?
The solutions to the equation 5x^2-10x+9=0 are x=1+i(2sqrt(5))/5 ,x=1-i(2sqrt(5))/5
Find the zeros of 5x^2-10x+9=0
The zeros of 5x^2-10x+9=0 are x=1+i(2sqrt(5))/5 ,x=1-i(2sqrt(5))/5