Question

2x+3/x=x/2x-3 find the value of x
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Answer 1

Step-by-step explanation:

Step 1: Cross-multiply.

(2x+3)/x=x/(2x−3)

(2x+3)*(2x−3)=x*x

4x^2−9=x^2

Step 2: Subtract x^2 from both sides.

4x^2−9−x^2=x^2−x^2

3x^2−9=0

Step 3: Add 9 to both sides.

3x^2−9+9=0+9

3x^2=9

Step 4: Divide both sides by 3.

(3x^2)/3=9/3

x^2=3

Step 5: Take square root.

x=±√3

x=√3 or x=−√3