Question

solve x x+2/2x-5=2/5​

Answer 1

Answer:

x(2x+5)=25

Let us simplify the given equation,

2x

2

+5x−25=0

By factorizing, we get

2x

2

+10x−5x−25=0

2x(x+5)−5(x+5)=0

(x+5)(2x−5)=0

So,

(x+5)=0 or (2x−5)=0

x=−5 or 2x=5

x=−5 or x=5/2

∴ Value of x=−5 or 5/2

Answer 2

Answer:

x+2/2x-5=2/5

x+1/x-5=2/5

Taking LCM and solving, we get

(3x+10)/2=2/5

3x+10=2/5×2

3x+10=4/5

3x=4/5-10

3x= -46/5

3x × 5 =-46

15x =-46

x= -46/15