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2 votes
The roots of a quadratic equation are 5 and

2
3
. If one of the two factors of the equation is
x

5
, which expression could be a second factor?


2
x

3

2 x − − 3

2
x
+
3

2 x + 3

3
x

2

3 x − 2

3
x
+
2

3 x + 2

User Ayub Malik
by
7.4k points

1 Answer

10 votes

I think before we get to this answer we need to understand how roots of a quadratic equation works.

When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)

In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.

Hope this helped you and if there is any questions about this please let me know in the comments.

User Jmg
by
7.4k points