Question

Which choices are solutions to the following equation?

Answer 1

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

Answer 2

Answer:

B. x = 1

C. x = 6

Step-by-step 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