2/(2x+1)+3/(4x^(2)-2x+1=(20x+1)/(8x^(3)+1). Created by Тимур10122002. matematika-ru

(8x^(3)+1)...

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August 2022 1 2 Report

2/(2x+1)+3/(4x^(2)-2x+1=(20x+1)/(8x^(3)+1)

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лолл1314 v(3)(x^2+14x-16=-4 возводим в куб x^2+14x-16=-64 x^2+14x-16+64=0
x^2+14x+48=0 D=196-192=4 VD=2 x1=-14-2/2=-8 x2=-14+16/2=1
v(3x+1)=x-1 3x+1=(x-1)^2 3x+1=x^2-2x+1 x^2-2x-3x=0 x^2-5x=0 x(x-5)=0 x1=0 x2=5
v(4)(x^2-7)=v2 x^2-7=4 x^2=11 x1=v11x2=-v11
v(x+5)-v(5-x)=2 v(x+5)=2+v(5-x) x+5=4+2*2*v(5-x)+5-x 2x-4=4v(5-x)
4x^2-2*2x*4+16=16*(5-x) 4x^2-16x+16=80-16x 4x^2=80-16=64 x^2=16 x1=-4 x2=4
2)
v(3)x(x+6)=x x(x+6)=x^3 x^3-x^2-6x=0 x1=0 x^2-x-6=0 D=25 x2=-2 x3=3
vx=x-2 x>=0 x=x^2-4x+4 x^2-5x+4=0 D=25-16=9 vD=+-3 x1=1 x2=4
v(x^2+9)=2x-3 2x-3>+=0 x>=3/2>=1.5 x^2+9=4x^2-12x+9 3x^2-12x=0 x1=0 x2=4
т.к. х>=1.5 =>x1=0 не уд. одз ответ х=4
3x-10v(x+1)+6=0 3x+6=10v(x+1) x+1>=0 x>=-1 ( 3x+6)^2=100x+100 9x^2+36x+36-100x-100=0 9x^2-64x-64=0D=4096+2304=6400 vD=80 x1=-8/9 x2=8
v(5x+20)=2+v(x+8) 5x+20>=0 x>=-4 x+8>=0 x>=-8
5x+20=4+4v(x+8)+x+8 4x+8=4v(x+8) x+2=vx+8 x^2+4x+4=x+8 x^2+3x-4=0 D=25
x1=-4 x2=1
v(2x-1+v(x+2))=4 2x-1+v(x+2)=16 2x-17=-v(x+2) 2x-17)^2=x+2 4x^2-2*2*17x+17^2=x+2
4x^2-68x+289-x-2=0 4x^2-69x+287=0 D=69^2-4*4*287=4761-4592=169 vD=13 x1=69-13/8=56/8=7 x2=69+13/8 = 82/8=41/4=10.25
x+2>=0 x>=-2

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