What are the solutions to the equation 5x^2-10x+17=0 ?

The solutions to the equation 5x^2-10x+17=0 are x=1+i(2sqrt(15))/5 ,x=1-i(2sqrt(15))/5

Find the zeros of 5x^2-10x+17=0

The zeros of 5x^2-10x+17=0 are x=1+i(2sqrt(15))/5 ,x=1-i(2sqrt(15))/5

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5 x^{2} - 10 x + 17 = 0

x = 1 + i \frac{2 15}{5}, x = 1 - i \frac{2 15}{5}

Solution steps

5 x^{2} - 10 x + 17 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 17}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 17 : 415 i

x_{1, 2} = \frac{- ( - 10 ) \pm 4 15 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 15 i}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 4 15 i}{2 \cdot 5}

x = \frac{- ( - 10 ) + 4 15 i}{2 \cdot 5} : 1 + i \frac{2 15}{5}

x = \frac{- ( - 10 ) - 4 15 i}{2 \cdot 5} : 1 - i \frac{2 15}{5}

The solutions to the quadratic equation are:

x = 1 + i \frac{2 15}{5}, x = 1 - i \frac{2 15}{5}

0 = x^{2} + 5 x

5 x^{2} - 10 x + 15 = 0

34 - 3 (10 - x) = x^{2}

6 y^{2} - 11 y - 10 = 0

20 v^{2} + 3 v = 5 v^{2} + 5 v + 1

What are the solutions to the equation 5x^2-10x+17=0 ?
The solutions to the equation 5x^2-10x+17=0 are x=1+i(2sqrt(15))/5 ,x=1-i(2sqrt(15))/5
Find the zeros of 5x^2-10x+17=0
The zeros of 5x^2-10x+17=0 are x=1+i(2sqrt(15))/5 ,x=1-i(2sqrt(15))/5