SOLUTION: I need to find y for the equation: {{{ (((y-21.937)^2)/48.123)-((x^2)/16)=1 }}} when x is equal to 6 I have tried and failed three times. I get to {{{ ((y-21.937)^2)=156.3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need to find y for the equation: {{{ (((y-21.937)^2)/48.123)-((x^2)/16)=1 }}} when x is equal to 6 I have tried and failed three times. I get to {{{ ((y-21.937)^2)=156.3      Log On


   

Question 874877: I need to find y for the equation:
+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%28x%5E2%29%2F16%29=1+
when x is equal to 6
I have tried and failed three times. I get to +%28%28y-21.937%29%5E2%29=156.39975+ with no idea how to advance.
I know the answer is approximately 9.431, but I need the full working.
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%28x%5E2%29%2F16%29=1+

+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%2836%29%2F16%29=1+

+%28y-21.937%29%5E2%2F48.123=%28%289%2F4%29%2B1%29

+%28%28y-21.937%29%5E2%29%2F48.123=%2813%2F4%29+%29

%28y-21.937%29%5E2=%2848.123%29%2A%2813%2F4%29+

%28sqrt%28%28y-21.937%29%5E2%29%29=%28sqrt%28%2848.123%29%2A%2813%2F4%29%29%29+
y-21.937=+/-12.51
y=21.937+/-12.51


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%28x%5E2%29%2F16%29=1+
+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%2836%29%2F16%29=1+
+%28%28%28y-21.937%29%5E2%29%2F48.123%29=1%2B%2836%2F16%29+
+%28%28%28y-21.937%29%5E2%29%2F48.123%29=52%2F16%29+
+%28%28y-21.937%29%5E2%29=48.123%2A%2852%2F16%29+
+%28%28y-21.937%29%5E2%29=48.123%2A%2852%2F16%29+
+%28%28y-21.937%29%5E2%29=156.39975+
take sqrt of both sides
y-21.937=±√156.39975=±12.5060
y=12.5060+21.937=34.443
or
y=-12.5060+21.937=9.431