Question

Identify the quadratic function(s). (Select all that apply.)

8 - 5x = 4(3x - 1)
(4a + 2)(2a - 1) + 1 = 0
2y + 2(3y - 5) = 0
2b(b - 7) + b = 0

Answer 1

Option 2 and 4 are quadratic equations.

Explanation:

To find : Identify the quadratic function(s)?

Solution :

1)
`8 -5x = 4(3x - 1)`

Solving,

`8 -5x = 12x -4`

`12=17x`

`x=(12)/(17)`

This is not a quadratic equation.

2)
`(4a + 2)(2a - 1) + 1 = 0`

Solving,

`8a^2-4a+4a-2+1=0`

`18a^2-1=0`

This is a quadratic equation.

3)
`2y + 2(3y - 5) = 0`

Solving,

`2y+6y-10=0`

`8y-10=0`

This is not a quadratic equation.

4)
`2b(b - 7) + b = 0`

Solving,

`2b^2-14b+b=0`

`2b^2-13b=0`

This is a quadratic equation.

Therefore, Option 2 and 4 are quadratic equations.