Question

If one root of $x(x+2)=3-a{x}^2$ tends towards infinity, then $a$ will tend to

• A. $1$
• B. $-1$
• C. $2$
• D. $4$

Answer 1

The correct option is B $-1$

Given quadratic equation,
$x(x+2)=3-a{x}^2$
$\Rightarrow (a+1)x^2+2x-3=0$
If one roots tends to $\infty$, it means product of root also tends to $\infty$.
$\Rightarrow \frac{-3}{a+1}\to \infty$
$\Rightarrow a+1\to 0$
$\Rightarrow a\to -1$.