Question

Solve for the roots of the quadratic equation $x^2-5x+6=0$

• A. 5,1
• B. 2,3
• C. -5,-1
• D. -2,3

Answer 1

The correct option is B 2,3

For finding the roots of the equation $x^2-5x+6=0$, we factorise the polynomial $x^2-5x+6$ and equate the factors to zero.
$x^2-2x-3x+6=x(x-2)-3(x-2)\Rightarrow (x-2)(x-3)=0\Rightarrow (x-2)=0or(x-3)=0\Rightarrow x=2,3$
The roots of the equation $x^2-5x+6=0$ are 2,3.
Note that the equation is solved here by using Factorisation method. Completion of Squares or Quadratic Formula can also be used to find the roots of the above equation.