What are the solutions to the equation 17/10 x^2+3x+5=0 ?

The solutions to the equation 17/10 x^2+3x+5=0 are x=-15/17+i 25/17 ,x=-15/17-i 25/17

Find the zeros of 17/10 x^2+3x+5=0

The zeros of 17/10 x^2+3x+5=0 are x=-15/17+i 25/17 ,x=-15/17-i 25/17

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\frac{17}{10} x^{2} + 3 x + 5 = 0

x = - \frac{15}{17} + i \frac{25}{17}, x = - \frac{15}{17} - i \frac{25}{17}

Solution steps

\frac{17}{10} x^{2} + 3 x + 5 = 0

Multiply both sides by

10

17 x^{2} + 30 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 17 \cdot 50}{2 \cdot 17}

Simplify

3 0^{2} - 4 \cdot 17 \cdot 50 : 50 i

x_{1, 2} = \frac{- 30 \pm 50 i}{2 \cdot 17}

Separate the solutions

x_{1} = \frac{- 30 + 50 i}{2 \cdot 17}, x_{2} = \frac{- 30 - 50 i}{2 \cdot 17}

x = \frac{- 30 + 50 i}{2 \cdot 17} : - \frac{15}{17} + i \frac{25}{17}

x = \frac{- 30 - 50 i}{2 \cdot 17} : - \frac{15}{17} - i \frac{25}{17}

The solutions to the quadratic equation are:

x = - \frac{15}{17} + i \frac{25}{17}, x = - \frac{15}{17} - i \frac{25}{17}

6 w^{2} - 12 w = 0

5 t^{2} + 13 t - 6 = 0

x^{2} = - 3 + 4 x

4 n^{2} + 6 n - 9 = 0

x^{2} - 2 x = - 26

What are the solutions to the equation 17/10 x^2+3x+5=0 ?
The solutions to the equation 17/10 x^2+3x+5=0 are x=-15/17+i 25/17 ,x=-15/17-i 25/17
Find the zeros of 17/10 x^2+3x+5=0
The zeros of 17/10 x^2+3x+5=0 are x=-15/17+i 25/17 ,x=-15/17-i 25/17