Question

Which of the following equations has the roots 1 and 2?

• A. $x^2-3x+2=0$
• B. $x^2-3x+8=0$
• C. $x^2-4x+2=0$
• D. $x^2-6x+2=0$

Answer 1

The correct option is A $x^2-3x+2=0$

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

We have A = 1 and B = 2.

The general form of a quadratic equation can be written as:

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

$\Rightarrow$$x^2-(1+2)x+(1\times 2)=0$

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