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

The second option and the fourth option become quadratic equations when multiplied all the way out. 

Answer 2

Answer:

Option 2 and 4 are quadratic equations.    

Step-by-step explanation:

To find : Identify the quadratic function(s)?

Solution :

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

Solving,

$8 -5x = 12x -4$

$12=17x$

$x=\frac{12}{17}$

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.