Question

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

Answer 1

Heya ☺

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

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

=> 20 - 4x + 5x - x^2/14 - 2x + 7x - x^2 = 1

=> 20 + x - x^2/14 + 5x - x^2 = 1

=> 20 + x - x^2 = 1(14 + 5x - x^2)

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

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

=> 20 - 4x = 14

=> - 4x = 14 - 20

=> - 4x = - 6

=> x = -6/-4

=> x = 3/2





Thanks