What are the solutions to the equation 17x^2+17x=-19 ?

The solutions to the equation 17x^2+17x=-19 are x=-1/2+i(sqrt(1003))/(34),x=-1/2-i(sqrt(1003))/(34)

Find the zeros of 17x^2+17x=-19

The zeros of 17x^2+17x=-19 are x=-1/2+i(sqrt(1003))/(34),x=-1/2-i(sqrt(1003))/(34)

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17 x^{2} + 17 x = - 19

x = - \frac{1}{2} + i \frac{1003}{34}, x = - \frac{1}{2} - i \frac{1003}{34}

Solution steps

17 x^{2} + 17 x = - 19

Move

19

to the left side

17 x^{2} + 17 x + 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 \cdot 17 \cdot 19}{2 \cdot 17}

Simplify

1 7^{2} - 4 \cdot 17 \cdot 19 : 1003 i

x_{1, 2} = \frac{- 17 \pm 1003 i}{2 \cdot 17}

Separate the solutions

x_{1} = \frac{- 17 + 1003 i}{2 \cdot 17}, x_{2} = \frac{- 17 - 1003 i}{2 \cdot 17}

x = \frac{- 17 + 1003 i}{2 \cdot 17} : - \frac{1}{2} + i \frac{1003}{34}

x = \frac{- 17 - 1003 i}{2 \cdot 17} : - \frac{1}{2} - i \frac{1003}{34}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{1003}{34}, x = - \frac{1}{2} - i \frac{1003}{34}

\frac{x}{6} + 7 = 12

\frac{1}{2} (3 + 5) 6

3 x^{2} - 6 x - 1 = 0

24 p^{6} q + 42 p^{5} q^{4} + 54 p^{2} q^{2}

\frac{3 + 2 i}{2 - 3 i}

What are the solutions to the equation 17x^2+17x=-19 ?
The solutions to the equation 17x^2+17x=-19 are x=-1/2+i(sqrt(1003))/(34),x=-1/2-i(sqrt(1003))/(34)
Find the zeros of 17x^2+17x=-19
The zeros of 17x^2+17x=-19 are x=-1/2+i(sqrt(1003))/(34),x=-1/2-i(sqrt(1003))/(34)