What is 1.5t^2-11.25t+4.21875+d=0 ?

The solution to 1.5t^2-11.25t+4.21875+d=0 is Parabola with (h,k)=(3.75,16.875),p=-0.16666…

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1.5t^2-11.25t+4.21875+d=0

1.5 t^{2} - 11.25 t + 4.21875 + d = 0

(h, k) = (3.75, 16.875), p = - 0.16666 \dots

Solution steps

1.5 t^{2} - 11.25 t + 4.21875 + d = 0

Rewrite

1.5 t^{2} - 11.25 t + 4.21875 + d = 0

in the standard form

4 (- 0.16666 \dots) (d - 16.875) = (t - 3.75)^{2}

Therefore parabola properties are:

(h, k) = (3.75, 16.875), p = - 0.16666 \dots

3 y^{2} - 4 x = - 1

x - y^{2} + 1 > 0

y + 6 x = x^{2} + 6

2 x^{2} + y = 5

x = 8 - 2 y^{2}

What is 1.5t^2-11.25t+4.21875+d=0 ?
The solution to 1.5t^2-11.25t+4.21875+d=0 is Parabola with (h,k)=(3.75,16.875),p=-0.16666…