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Solve the equation . x-3/2- x-1/5 =2x-3/5 |
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Answer» -STEP explanation:The solution of the EXPRESSION is X=-2 and x=1. Step-by-step explanation:GIVEN : Expression (\FRAC{4}{x})-3=\frac{5}{2x+3}( x4 )−3= 2x+35 To find : Solve by factorization?Solution :Solve the expression,(\frac{4}{x})-3=\frac{5}{2x+3}( x4 )−3= 2x+35 \frac{4-3x}{x}=\frac{5}{2x+3} x4−3x = 2x+35 Cross multiply,(4-3x)(2x+3)=5x(4−3x)(2x+3)=5x8x+12-6x^2-9x=5x8x+12−6x 2 −9x=5x6x^2+6x-12=06x 2 +6x−12=0x^2+x-2=0x 2 +x−2=0Apply middle term split,x^2+2x-x-2=0x 2 +2x−x−2=0x(x+2)-1(x+2)=0x(x+2)−1(x+2)=0(x+2)(x-1)=0(x+2)(x−1)=0x=-2,1x=−2,1Therefore, The solution of the expression is x=-2 and x=1.I hope you understand the solution |
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