Question

Arrange the following equations based on the ascending order of sum of their roots.(Top to bottom direction)

• A. $x^2-6x+8=0$
• B. $x^2-4x+4=0$
• C. $x^2-8x+16=0$
• D. $x^2-2x+1=0$

Answer 1

General form of quadratic equation in terms of sum of zeros is given by :

$\left[\right(x^2-\left(sumofroots\right)x+\left(productofroots\right)]=0$

Let's find the sum of roots of the given equations.

1.$x^2-6x+8=0$

On comparing this equation with the general form, we have

Sum of roots = 6

2.$x^2-4x+4=0$

On comparing this equation with the general form, we have

Sum of roots = 4

3.$x^2-8x+16=0$

On comparing this equation with the general form, we have

Sum of roots = 8

4.$x^2-2x+1=0$

On comparing this equation with the general form, we have

Sum of roots = 2