SOLUTION: How would you rewrite 4x^2+25y^2=100, and then make a table from that equation I'm not understanding how you would put values like say 0 for x and solve for y in the equation?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: How would you rewrite 4x^2+25y^2=100, and then make a table from that equation I'm not understanding how you would put values like say 0 for x and solve for y in the equation?      Log On


   

Question 614263: How would you rewrite 4x^2+25y^2=100, and then make a table from that equation I'm not understanding how you would put values like say 0 for x and solve for y in the equation?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2 + 25y^2 = 100, and then make a table from that equation
:
25y^2 = -4x^2 + 100
y^2 = %28%28-4x%5E2%2B100%29%29%2F25
:
y = +/-sqrt%28%28-4x%5E2%2B100%29%2F25%29
:
x=0
y = +/-sqrt%28%28-4%280%29%2B100%29%2F25%29
y = +/-sqrt%28100%2F25%29
y = +/-sqrt%284%29
y = +/-2
:
x=5
y = +/-sqrt%28%28-4%285%5E2%29%2B100%29%2F25%29
y = +/-sqrt%280%2F25%29
y = 0
:
x=-5
y = +/-sqrt%28%28-4%28-5%5E2%29%2B100%29%2F25%29
y = +/-sqrt%280%2F25%29
y = 0
:
I picked values for x that gave integers, the domain will be -5 to +5
:
a Table from my Ti-83
x | y
-------
-5 | 0
-4 |1.2
-3 |1.6
-2 |1.83
-1 |1.96
0 | 2
+1 |1.96
+2 |1.83
+3 |1.6
+4 |1.2
+5 | 0
and the neg portion of the +/- square root
x | y
--------
-5 | 0
-4 |-1.2
-3 |-1.6
-2 |-1.83
-1 |-1.96
0 | -2
+1 |-1.96
+2 |-1.83
+3 |-1.6
+4 |-1.2
+5 | 0