Answer:
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
