Question

solve
4(x+2)-3(2-x)=3(x+4)-2(4-x)​

Answer 1

Step-by-step explanation:

Given equation, 2x+3/x+3=x+4/x+2

On cross-multiplying, we have

(2x+3)(x+2)=(x+4)(x+3)

2x

2

+4x+3x+6=x

2

+3x+4x+12

2x

2

+7x+6=x

2

+7x+12

x

2

+0x−6=0

Here, a=1,b=0 and c=−6

By quadratic formula, we have

x=

2a

−b±

b

2

−4ac

x=

2(1)

0±

0

2

−4(1)(−6)

x=

2

0±

0−−24

x=

2

0±

24

x=

2

0±2

6

x=

2

0

±

2

2

6

x=0±

6

Therefore, x=

6

or x=−

6

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