Решите уравнение 35+(5х-1)(5х+1)=(5х+2)². Created by maksgibert61. algebra-ru

Решите уравнение 35+(5х-1)(5х+1)=(5х+2)²...

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Решите уравнение 35+(5х-1)(5х+1)=(5х+2)²

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$35 + (5x - 1)(5x + 1) = {(5x + 2)}^{2} \\ 35 + (25 {x}^{2} - 1) = 25 {x}^{2} + 20x + 4 \\ 35 + 25 {x}^{2} - 1 - 25 {x}^{2} - 20x = 4 \\ - 20x = 4 - 35 + 1 \\ - 20x = - 30 \\ x = \frac{ - 30}{ - 20} \\ x = 1.5$

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king146

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35+(5х-1)(5х+1)=(5х+2)^2
35+25х^2-1=25х^2+20х+4
35+25х^2-1-25х^2-20х-4=0
35-1-20х-4=0
30-20х=0
-20х=-30
х=-30÷(-20)
х=1,5.
Ответ:1.5.

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