Question

In the following equation, determine whether the given values are solutions of the given equation.
$2x^2-x+9=x^2+4x+3,x=2,x=3.$

• A. x = 2 & x = 3 are not solutions.
• B. x = 2 & x = 3 are solutions.
• C. x = 2 is a solution but x = 3 is not a solution.
• D. x = 3 is a solution but x = 2 is not a solution.

Answer 1

The correct option is B x = 2 & x = 3 are solutions.

Given equation is

$2x^2-x+9=x^2+4x+3,x=2,x=3$

$\Rightarrow 2x^2-x^2-x-4x+9-3=0$

$\Rightarrow x^2-5x+6=0$

$\Rightarrow (x-2)(x-3)=0$

$\Rightarrow x=2,3$

Hence, $x=2$ & $x=3$ are the solutions of given equation