169k views
0 votes
Solve 9+5x-x^2 by completing the square

User PaoloAgVa
by
7.3k points

1 Answer

4 votes
61/4-(x-5/2)^2

Step-by-step explanation:
1. Rearrange

x^2+5x-9

2. Divide the coefficient of x by 2 squared.

[x^2+5x+(5/2)^2-(5/2)^2-9]

4. Put the first terms into ( )^2

(x+5/2)^2-64/1

5. Rearrange

61/4-(x-5/2)^2
User Gabor Szarnyas
by
8.2k points