Question

Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n)(4 - 6n) 0 = n(2n + 3)(3n - 2) 2n(2n + 3)(3n - 2) = 0 3n(6n + 9)(9n - 6) = 0

Answer 1

2, 4, 5, and 6 have the same pair of solutions.

Explanation:

1. n(n+3)(n-4) = 0

2. 2n(4n+6)(6n-4) = 0

3. 2n(6-4n)(4n-6n) = 0

4. n(2n+3)(3n-2) = 0

5. 2n(2n+3)(3n-2) = 0

6. 3n(6n+9)(9n-6) = 0

Answers:

1. n = 0, -3, 4

2. n = 0, -3/2, 2/3

3. n = 0, 3/2

4. n = 0, -3/2, 2/3

5. n = 0, -3/2, 2/3

6. n = 0, -3/2, 2/3

Answer 2

2,4,5,6

Explanation:

`n=0,4n+6=0\implies n=-(6)/(4)=-(3)/(2)`

`6n-4=0\implies n=(4)/(6)=(2)/(3)`

n=0,
`n=-(3)/(2),n=(2)/(3)`

3.
`2n(6n-4)(4-6n)=0`

n=0

`6n-4=0`

`n=(4)/(6)=(2)/(3)`

`4-6n=0`

`n=(4)/(6)=(2)/(3)`

4.
`n(2n+3)(3n-2)=0`

`n=0`

`2n+3=0`

`n=-(3)/(2)`

`3n-2=0`

`n=(2)/(3)`

5.
`2n(2n+3)(3n-2)=0`

`n=0`

`2n+3=0`

`n=-(3)/(2)`

`3n-2=0`

`n=(2)/(3)`

6.
`3n(6n+9)(9n-6)=0`

`n=0`

`6n+9=0`

`n=(-9)/(6)=-(3)/(2)`

`9n-6=0`

`n=(6)/(9)=(2)/(3)`

Answer:2,4,5 and 6 equation have same solutions.