SOLUTION: I need to find y for this equation when x=6 {{{ (((y-21.937)^2)/48.123)-((x^2)/16)=1 }}} I need full working as I can already find y on a calculator and it is equal to appr

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need to find y for this equation when x=6 {{{ (((y-21.937)^2)/48.123)-((x^2)/16)=1 }}} I need full working as I can already find y on a calculator and it is equal to appr      Log On


   

Question 874876: I need to find y for this equation when x=6

+%28%28%28y-21.937%29%5E2%29%2F48.123%29-%28%28x%5E2%29%2F16%29=1+
I need full working as I can already find y on a calculator and it is equal to approximately 9.431
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Did you first try solving for y in terms of x?

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