moongazer
  • moongazer
How do you equate this? 9^2+x^2=4^2+(10-x)^2 Please explain clearly that anyone could understand it easily. (Guaranteed medal for a good answer)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Combine the x^2 together on one side and the constants on another side. Set them equal to each other. x^2 - (10-x)^2 = 4^2 - 9^2
anonymous
  • anonymous
Expanding it, you get x^2 - 100 +20x - x^2 = 4^2 - 9^2 The x^2 , cancels out. You are left with -100 + 20x = 4^2 - 9^2 20x = 4^2 - 9^2 + 100 = 35 x = 35/20
moongazer
  • moongazer
Thanks!

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anonymous
  • anonymous
9^2+x^2=4^2+(10-x)^2 Sort out the constants first, so 9^2 = 81 and 4^2 = 16 Rewrite 81 + x^2 = 16 +(10-x)^2 Expand (10-x)^2 which gives 100 -20x + x^2 Rewrite 81 + x^2 = 16 +100 -20x + x^2 = 116 -20x + x^2 Subtract x^2 from both sides 81 = 116 -20x Subtract 116 from both sides -35 = -20x divide both sides by -5 7 = 4x Divide both sides by 4 7/4 = x

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