1/x+1+2/x+2=5/x+4 x is not -1-2-4
please solve it
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it can't be dear.....x value is -2
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Step-by-step explanation:
Given that:-
1/(x+1)+2/(x+2)=5/(x+4)
=>[(x+2)+2(x+1)]/[(x+1)(x+2)]=5/(x+4)
=>[x+2+2x+2)]/[x²+2x+x+2]=5/(x+4)
=>(3x+4)/(x²+3x+2)=5/(x+4)
=>5(x²+3x+2)=(3x+4)(x+4)
=>5x²+15x+10=3x²+12x+4x+16
=>5x²+15x+10=3x²+16x+16
=>5x²+15x+10-3x²-16x-16=0
=>2x²-x-6=0
=>2x²-4x+3x-6=0
=>2x(x-2)+3(x-2)=0
=>(x-2)(2x+3)=0
=>x-2=0 or 2x+3=0
=>x=2 and x=-3/2
The solutions are 2 and -3/2
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