Question

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

Answer 1

Answer:

X=5

Step-by-step explanation:

(2+5=7),(7-5=2)/(5-5=0),(4+5)=1

Answer 2

Given,

$\frac{(2+x)(7-x)}{(5-x)(4+x)}=1$

(2+x)(7-x)=(5-x)(4+x) ( By cross multiplication )

$\small \bold{14-2x+7x-x^2 = 20 + 5x - 4x - x^2}$

14+5x = 20+x

$4x = 6\implies x = \frac{6}{4}=1.5$

Thus, the value of x is 1.5.