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21Daria21
@21Daria21
July 2022
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решите срочно буквы "д" и "е"
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erzhan9210
ОДЗ:х>2
(x-2)/(x+3)=x/(5x+3)
(x-2)(5x+3)=x(x+3)
5x²-10x+3x-6=x²+3x
5x²-7x-6-x²-3x=0
4x²-10x-6=0
2x²-5x-3=0
D=(-5)²-4*2*(-3)=25+24=49=7²
x=(5±7)/4
x1=-2/4≠-1/2 не подходит ОДЗ
x2=12/4=3
ОДЗ х>3
(x+2)/(x-3)=(5x+4)/x
x*(x+2)=(x-3)(5x+4)
x²+2x=5x²-15x+4x-12
5x²-11x-12-x²-2x=0
4x²-13x-12=0
D=(-13)²-4*4*(-12)=169+192=361=19²
x=(13±19)/8
x1=-6/8=-3/4 не подходит ОДЗ
x2=32/8=4
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Answers & Comments
(x-2)/(x+3)=x/(5x+3)
(x-2)(5x+3)=x(x+3)
5x²-10x+3x-6=x²+3x
5x²-7x-6-x²-3x=0
4x²-10x-6=0
2x²-5x-3=0
D=(-5)²-4*2*(-3)=25+24=49=7²
x=(5±7)/4
x1=-2/4≠-1/2 не подходит ОДЗ
x2=12/4=3
ОДЗ х>3
(x+2)/(x-3)=(5x+4)/x
x*(x+2)=(x-3)(5x+4)
x²+2x=5x²-15x+4x-12
5x²-11x-12-x²-2x=0
4x²-13x-12=0
D=(-13)²-4*4*(-12)=169+192=361=19²
x=(13±19)/8
x1=-6/8=-3/4 не подходит ОДЗ
x2=32/8=4