
Home > A2C > Chapter 11 > Lesson 11.3.3 > Problem 11-157
11-157.
2y2 + 4y + 2 = x
x = 2(y + 1)2
2y = −5x + 10
Try to factor and complete the squares for x and y.
4(x2 + x) + 4(y2 − 6y) = −21
= − 21 + 1 + 36
See part (c).
See part (c).
9(x2 + 6x) + 4(y2 − 4y) + 97 = 0
9(x2 + 6x + 9) − 81 + 4(y2 − 4y + 4) − 16 + 97 = 0
9(x + 3)2 + 4(y − 2)2 = 0
See part (c).
Notice that y 2 is the only term containing y. Try to get it by itself.