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superstarkarin
@superstarkarin
August 2022
1
35
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35+(5x-1)(5x+1)=(5x+2)^2
6-x+(2x-1)^2=4(x+3)^2
SOS решите уравнения!!!
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Trofimkirillov
Verified answer
1)35+(5x-1)(5x+1)=(5x+2)²
35+(5x)²-1²=(5x)²+2*5x*2+2²
35+25x²-1=25x²+20x+4
25x²-25x²-20x=4-35+1
-20x=-30
x=-30/-20=30/20=1 10/20=1 1/2=1,5
35+(5*1,5-1)(5*1,5+1)=(5*1,5+2)²
Ответ:x=1,5
2)6-x+(2x-1)²=4(x+3)²
6-x+(2x)²-2*2x*1+1²=4(x²+2*x*3+3²)
6-x+4x²-4x+1=4(x²+6x+9)
6-x+4x^2-4x+1=4x^2+24x+36
-x+4x^2-4x-4x^2-24x=36-6-1
-29x=29
x=29:(-29)
x=-1
6-(-1)+(2(-1)-1)^2=4(-1+3)^2
Ответ:x=-1
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Answers & Comments
Verified answer
1)35+(5x-1)(5x+1)=(5x+2)²35+(5x)²-1²=(5x)²+2*5x*2+2²
35+25x²-1=25x²+20x+4
25x²-25x²-20x=4-35+1
-20x=-30
x=-30/-20=30/20=1 10/20=1 1/2=1,5
35+(5*1,5-1)(5*1,5+1)=(5*1,5+2)²
Ответ:x=1,5
2)6-x+(2x-1)²=4(x+3)²
6-x+(2x)²-2*2x*1+1²=4(x²+2*x*3+3²)
6-x+4x²-4x+1=4(x²+6x+9)
6-x+4x^2-4x+1=4x^2+24x+36
-x+4x^2-4x-4x^2-24x=36-6-1
-29x=29
x=29:(-29)
x=-1
6-(-1)+(2(-1)-1)^2=4(-1+3)^2
Ответ:x=-1