Question

If $\frac{4-x}{2+x}=x$, then what is the value of $x^2+3x-4$ ?

• A. $-4$
• B. $-1$
• C. $0$
• D. $1$
• E. $2$

Answer 1

The correct option is C $0$

Given, $\frac{4-x}{2+x}=x$
$\Rightarrow 4-x=x(2+x)$
$\Rightarrow 4-x=2x+x^2$
$\Rightarrow x^2+2x+x-4=0$
$\Rightarrow x^2+3x-4=0$
Hence, option C is correct.