SOLUTION: {{{x^2/18+x^2/32=1}}}

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Question 1045505: x%5E2%2F18%2Bx%5E2%2F32=1
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2/18+x^2/32=1
32x^2 + 18x^2 = 576
50x^2 = 576
x^2 = 288/25
x = ħsqrt(288)/5

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F18%2Bx%5E2%2F32%22%22=%22%221

The LCD of 18 and 32 is 288

Multiply through by 288

288%2Aexpr%28x%5E2%2F18%29%2B288%2Aexpr%28x%5E2%2F32%29%22%22=%22%22288%2A1

16x%5E2%2B9x%5E2%22%22=%22%22288

25x%5E2%22%22=%22%22288

x%5E2%22%22=%22%22288%2F25

x%22%22=%22%22%22%22+%2B-+sqrt%28288%2F25%29

x%22%22=%22%22%22%22+%2B-+sqrt%28288%29%2Fsqrt%2825%29

x%22%22=%22%22%22%22+%2B-+sqrt%28288%29%2F5

x%22%22=%22%22%22%22+%2B-+sqrt%28144%2A2%29%2F5

x%22%22=%22%22%22%22+%2B-+12sqrt%282%29%2F5

Edwin