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tatyanamatusev
@tatyanamatusev
June 2022
1
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решите пожалуйста (х-3)2+(х+4)2-(х-5)2=17х+24
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ShirokovP
Verified answer
Раскроем скобки
(x^2 - 6x + 9) + (x^2 + 8x + 16) - (x^2 - 10x + 25) = 17x + 24
Приведём подобные слагаемые
x^2 - 6x +
9
+
x^2
+ 8x +
16
-
x^2
+ 10x -
25
- 17x - 24 = 0
x^2 - 5x - 24 = 0
D = ( - 5)^2 - 4*(- 24) = 25 + 96 = 121 = 11^2
x₁ = ( 5 + 11)/2 = 16/2 = 8;
x₂ = ( 5 - 11)/2 = - 6/2 = - 3;
Ответ:
- 3; 8
2 votes
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Answers & Comments
Verified answer
Раскроем скобки(x^2 - 6x + 9) + (x^2 + 8x + 16) - (x^2 - 10x + 25) = 17x + 24
Приведём подобные слагаемые
x^2 - 6x + 9 + x^2 + 8x + 16 - x^2 + 10x - 25 - 17x - 24 = 0
x^2 - 5x - 24 = 0
D = ( - 5)^2 - 4*(- 24) = 25 + 96 = 121 = 11^2
x₁ = ( 5 + 11)/2 = 16/2 = 8;
x₂ = ( 5 - 11)/2 = - 6/2 = - 3;
Ответ:
- 3; 8