Question

(2+x)(7-x)/(5-x)(4+x)=1

Answer 1

Hi ,

( 2 + x ) ( 7 - x ) /( 5 - x )( 4 + x ) = 1

( 2 + x ) ( 7 - x ) = ( 5 - x ) ( 4 + x )

14 - 2x + 7x - x² = 20 + 5x - 4x - x²

14 + 5x = 20 + x

5x - x = 20 - 14

4x = 6

x = 6 /4

x = 3/2

I hope this helps you.

:)

Answer 2

Given Equation is (2 + x)(7 - x)/(5 - x)(4 + x) = 1

                              (2 + x)(7 - x) = (5 - x)(4 + x)
 
                              2 * 7 + 2 * (-x) + x * 7 + x * (-x) = 5 * 4 + 5 * x - x * 4 - x * x

                              14 - 2x + 7x - x^2 = 20 + 5x - 4x - x^2

                              14 + 5x - x^2 = 20 + x - x^2

                              5x - x^2 = 20 + x - x^2 - 14

                              5x - x^2 = -x^2 + x + 6

                               4x = 6

                                x = 6/4

                               x = 3/2.


Hope this helps!