How do you write 25y^{2}+9x^{2}-50y-54x=119 in standard form?

Fiona Petersen

Fiona Petersen

Answered question

2022-01-30

How do you write 25y2+9x250y54x=119 in standard form?

Answer & Explanation

cevarnamvu

cevarnamvu

Beginner2022-01-31Added 12 answers

25y2+9x250y54x=119
Consider the tow sub-expressions from the left side of this equation:
1. Terms involving y
25y250y
=25(y22y)
=25(y22y+1)25
=52(y1)225
2. Terms involving x
9x254x
=9(x26x+(3)2)81
=32(x3)281
25y2+9x250y54x=119
25y250y+9x254x=119
=52(y1)225+32(x3)281=119
=52(y1)2+32(x3)2=225
or
=(25y25)2+(9x27)2=152
or some variant of this depending upon your local definition of "standard form" for an ellipse.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?