What is 5x^2-sqrt(3)x=-y ?

The solution to 5x^2-sqrt(3)x=-y is Parabola with (h,k)=((sqrt(3))/(10), 3/20),p=-1/20

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5x^2-sqrt(3)x=-y

5 x^{2} - 3 x = - y

(h, k) = (\frac{3}{10}, \frac{3}{20}), p = - \frac{1}{20}

Solution steps

5 x^{2} - 3 x = - y

Rewrite

5 x^{2} - 3 x = - y

in the standard form

4 (- \frac{1}{20}) (y - \frac{3}{20}) = (x - \frac{3}{10})^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{10}, \frac{3}{20}), p = - \frac{1}{20}

5 X^{2} + 4 X - 3 (3 Y - 8) + 6 = - 2 (5 X - 5)

y > - 4 x^{2} - 12 x - 8

x + y^{2} - 3 = 0

x^{2} - 10 x - 2 y + 19 = 0

y^{2} - 8 x - 6 y + 25 = 0

What is 5x^2-sqrt(3)x=-y ?
The solution to 5x^2-sqrt(3)x=-y is Parabola with (h,k)=((sqrt(3))/(10), 3/20),p=-1/20