# If 2x2 – 13x + 20 = (2x – 5)(x – 4), which equation(s) should be solved to find the roots of 2x2 – 13x + 20 = 0? Check all that apply. A. 2x – 5 = 0 B. x + 4 =

Mathematics

## Question

If 2x2 – 13x + 20 = (2x – 5)(x – 4), which equation(s) should be solved to find the roots of 2x2 – 13x + 20 = 0? Check all that apply.

A. 2x – 5 = 0
B. x + 4 = 0
C. 2x – 5 = x – 4
D. 2x + 5 = 0
E. x – 4 = 0

• ### 1. User Answers choixongdong

2x^2 – 13x + 20
= (2x – 5)(x – 4)

to find roots of 0 then
(2x – 5)(x – 4) = 0
then (2x – 5) = 0 and (x – 4) = 0

A. 2x – 5 = 0
E. x – 4 = 0
• ### 2. User Answers virtuematane

Hence, the  correct options are:

A. 2x-5 = 0

and  E. x-4 = 0

### Step-by-step explanation:

We are given a factorization of a polynomial function as:

$$2x^2-13x+20=(2x-5)(x-4)$$

The roots of the equation are the possible value of x such that the polynomial function is zero at that point.

i.e. we have to find x such that:

$$2x^2-13x+20=0$$

which could also be written as:

$$(2x-5)(x-4)=0$$

Hence, the equation that satisfy this equation is:

• $$2x-5=0$$
• $$x-4=0$$

Hence, the  correct options are:

A. 2x-5 = 0

and  E. x-4 = 0