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anonymous

  • 5 years ago

the sum of two numbers is seven. the sum of the squares of the two numbers is twenty nine. find the two numbers

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  1. anonymous
    • 5 years ago
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    The two numbers are x and y x + y = 7 (1st sentence) x^2 + y^2 = 29 (2nd sentence) two equations two variables... You could solve by graphing, substitution, or elimination method. Which way are you solving them right now?

  2. anonymous
    • 5 years ago
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    substitution

  3. anonymous
    • 5 years ago
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    so 25^2+4^2=29 ?

  4. anonymous
    • 5 years ago
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    opps i meant 5 not 25

  5. anonymous
    • 5 years ago
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    lol

  6. anonymous
    • 5 years ago
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    x + y = 7 when I solve for x I get x = 7 - y substitute that into the second equation (7 - y)^2 + y^2 = 29 foil method the first binomial (7 - y)(7 - y) + y^2 = 29 49 - 7y - 7y + y^2 + y^2 = 29 Add like terms 2y^2 - 14y + 49 = 29 set it equal to 0 2y^2 - 14y + 20 = 0 factor (take out the 2 first) 2(y^2 - 7y + 10) = 0 factor 2(y - 5)(y - 2) = 0 set each factor = to 0 y - 5 = 0 or y - 2 = 0 solve each equation y = 5 or y = 2 if y = 5 then x = 2 because x + y = 7 if x = 5 then y = 2 because x + y = 7 so the two numbers are 2 and 5

  7. anonymous
    • 5 years ago
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    yes thanks again

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