Question

Two numbers different by 4and their product is 192 find the numbers

Answer 1

Answer:

Step-by-step explanation:

Let the numbers be x and y

Such that x>y

x-y=4

x=4+y

xy=192

(4+y)y=192

4y+y^2=192

y^2+4y-192=0

y^2+16y-12y-192=0

y(y+16)-12(y+16)=0

(y+16)(y-12)=0

y+16=0 or y-12=0

y=-16 or y=12

x=4+y

x=4-16 or x=4+12

x=-12 or x=16

So the numbers are -12,-16 or 16,12

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