Question

x-8÷x-3=x-3÷2 solve the following ​

Answer 1

Step-by-step explanation:

8/(x+3)−3/(2−x)=2

Let us simplify the given equation,

By taking (x+3)(2−x) as LCM

[8(2−x)−3(x+3)]/(x+3)(2−x)

[16−8x−3x−9]/[2x−x

2

+6−3x]=2

7−11x=−2x

2

−2x+12

2x

2

+2x−11x−12+7=0

2x

2

−9x−5=0

By factorizing, we get

2x

2

−10x+x−5=0

2x(x−5)+1(x−5)=0

(x−5)(2x+1)=0

So,

(x−5)=0 or (2x+1)=0

x=5 or 2x=−1

x=5 or x=−1/2

∴ Value of x=5,−1/2

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