How the hell is the answer 6 or -4

one of the answers i get is -6 which is not the right one. where the heck does that -4 come from

The values of y is -4 and 6

Step-by-step explanation:

Solve by factoring y^2 -2y=24

We need to factorize the term y^2 -2y=24.

Rearranging:

y^2 - 2y -24 =0

For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2

We know, -6y*+4y = 24y^2 and -6y + 4y = -2y

y^2 -6y +4y -24 =0

y(y-6) +4(y-6) = 0

(y+4)(y-6)=0

Now, y+4 =0 and y-6 =0

Finding value of y,

y = -4 and y =6

So, the values of y is -4 and 6

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

a

step-by-step explanation: