Question

x = -2 is a root of which of the following equation?
i.x +2=2x-4
ii.3x+10=-2x
iii.3x-6=0
iv.2x+3=3-x

Answer 1

Answer:

∴ $x=-2$ is a root of equation $3x+10=-2x$.

Step-by-step explanation:

In context with question asked,

We have to find that, $x=-2$ is a root of which of the following equation?

The equations are,

i) $x+2=2x-4$

   $x-2x=-4-2$

     ∴ $-x=-6\\ x=6$

∴ $x=-2$ is not a root of equation $x+2=2x-4$.

ii)

   $3x+10=-2x\\3x+2x=-10\\ 5x=-10\\ x=\frac{-10}{5}\\x=-2$

∴ $x=-2$ is a root of equation $3x+10=-2x$.

iii)

   $3x-6=0\\ 3x=6\\ x=\frac{6}{3} \\ x=2$

∴ $x=-2$ is not a root of equation $3x=6=0$.

iv)

  $2x+3=3-x$

   $2x+x=3-3$

       $3x=0\\ x=0$

∴ $x=-2$ is not a root of equation $2x+3=3-x$.

∴ $x=-2$ is a root of equation $3x+10=-2x$.