Question

Sonya found that x = - 4/3 is one solution of (6x + 4)2 = ?. The other solution is x = ? .

Answer 1

16, 0

Step-by-step explanation:

Sonya found that x = - 4/3 is one solution of (6x + 4)2 = 16. The other solution is x = 0.

Answer 2

Solution: The value of (?) is 16 and the other value of x is 0.

Step-by-step explanation:

Let the value of (?) is C.

It the given equation is
`(6x+4)^2=C`. It can be written as
`(6x+4)^2-C=0`

Since
`x=(-4)/(3)` is the solution of the given equation, therefore
`x=(-4)/(3)` will satisfies the given equation.

Put
`x=(-4)/(3)`

`(6((-4)/(3)) +4)^2-C=0\\(-8+4)^2-C=0\\{-4}^2-C=0\\C=16`.

The given equation become
`(6x+4)^2+16=0`.

`(6x+4)^2=16`

`6x+4=4\\6x=0\\x=0`

`6x+4=-4\\6x=-8\\x=(-4)/(3)`

Therefore the value of (?) is 16 and the other value of x is 0.