Question

35.
The difference of squares of two numbers is 204. The square of the
smaller number is 4 less than 10 times the larger number. Find the two
numbers.
other​

Answer 1

Answer:

20, 14

Step-by-step explanation:

x square - y square = 204

y square = 10x - 4

x square- 10x +4 = 204

x square-10x-200=0

x square-20x +10x -200 = 0

x(x-20) +10(x-20)=0

(x-20(x+10)=0

x = 20 or x=-10

x=20, y=+/- 14

x=-10, y square =-100-4 which is in valid