Question

Which choices are solutions to the following equation?

Check all that apply.
x^2 - 7x = -24/4

A. x = 12
B. x = 1
C. x = 6
D. x = 2


HELP A BROTHA OUT

Answer 1

You can see solution in the picture, hope that can help you :-)

Answer 2

B. x = 1

C. x = 6

Explanation:

The equation

`x^2 - 7x = -24/4`

is the same as

`x^2 - 7x = -6`

We will verify which of the options meets this.

• A.
  `x=12`

is
`x=12`, the equation will be

`(12)^2 - 7(12)`

`144 - 84`

`60`

since is not equal to
`-6` this is not a solution.

• B.
  `x=1`

is
`x=1`, the equation will be

`(1)^2 - 7(1)`

`1 - 7`

`-6`

since is equal to
`-6` this is a solution.

• C.
  `x=6`

is
`x=6`, the equation will be

`(6)^2 - 7(6)`

`36 - 42`

`-6`

since is equal to
`-6` this is a solution.

• D.
  `x=2`

is
`x=2`, the equation will be

`(2)^2 - 7(2)`

`4 - 14`

`-10`

since is not equal to
`-6` this is not a solution.

the solutions are:
`x=1` and
`x=6` which are options B and C