Question

3.  Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1​

Answer 1

The value of x is 3/2 for the given eqn

Answer 2

Answer :

• x = 3/2

Given :

• (2 + x)(7 - x)/(5 - x)(4 + x) = 1

To find :

• X

Solution :

⇢ (2 + x)(7 - x)/(5 - x)(4 + x) = 1

⇢ 14 - 2x + 7x - x²/ 20 + 5x - 4x - x² = 1

⇢ 14 + 5x - x² = 20 + 5x - 4x - x²

⇢ 14 + 5x - x² = 20 + x - x²

⇢ 14 - 20 + 5x - x = -x² + x²

⇢ -6 + 4x = 0

⇢ 4x = 6

⇢ x = 6/4

⇢ x = 3/2

Hence , Answer is x = 3/2