Question

Which of the following equations has the roots 2 and 3?

• A. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^2-6x+2=0$
• B. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^2-5x+6=0$
• C. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^2-4x+2=0$
• D. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^2-6x+7=0$

Answer 1

The correct option is B <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^2-5x+6=0$

Let 'A' and 'B' be the roots of a quadratic equation.

We have A=2 and B =3.

The general form of quadratic equation can be written as:

$x^2-(A+B)x+AB=0$

$\Rightarrow$ $x^2-(2+3)x+(2\times 3)=0$

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