What is x^2-5x+6>3x+2y-5 ?

The solution to x^2-5x+6>3x+2y-5 is Parabola with (h,k)=(4,-5/2),p= 1/2

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x^2-5x+6>3x+2y-5

x^{2} - 5 x + 6 > 3 x + 2 y - 5

(h, k) = (4, - \frac{5}{2}), p = \frac{1}{2}

Solution steps

x^{2} - 5 x + 6 > 3 x + 2 y - 5

Rewrite

x^{2} - 5 x + 6 > 3 x + 2 y - 5

in the standard form

4 \cdot \frac{1}{2} (y - (- \frac{5}{2})) = (x - 4)^{2}

Therefore parabola properties are:

(h, k) = (4, - \frac{5}{2}), p = \frac{1}{2}

(y + 5)^{2} = 2 x - 5

(y - 0)^{2} = - 16 (x + 0)

24 y - x^{2} = 0

(x - 2)^{2} = 8 (y + 2)

y - 3 = (x - 3)^{2}

What is x^2-5x+6>3x+2y-5 ?
The solution to x^2-5x+6>3x+2y-5 is Parabola with (h,k)=(4,-5/2),p= 1/2