The square of a number is 12 more than the number. Find the value of the number. Show steps!

Answer:4

Step-by-step explanation:

let them number be y

y^2=y+12

y^2-y-12=0

y^2+3y-4y-12=0

y (y+3) - 4 (y+3) = 0

(y+3) (y-4) = 0

y+3=0 y-4=0

y=-3 y=4

There number is 4

Since the largest number is 12 more than it, the larger number is x+12. Their sum is x + (x+12) = 2x+12. 2x+12=48, since their sum is 48, so 2x=48-12=36, and x=36/2=18. Since x is 18, x+12=30, which are the value of the 2 numbers.