Answers

2016-07-13T20:11:00+08:00
Y=smallest
x=y+5
x²+y²=5y²
(y+5)²+y²=5y²
y²+10y+25+y²=5y²
10y+25=5y²-2y²
3y²-10y-25=0
(3y+5)(y-5)     y=- \frac{5}{3} ; y=5
x=5+5=10
10²+5²=5(5)²
100+25=5(25)
125=125
0
  • Brainly User
2016-07-14T10:44:53+08:00
First number: x
Second number: x + 5
Sum: 5x²

Equation:

x² + (x+5)² = 5x²

x² + x² + 10x + 25 = 5x²

2x² + 10x + 25 = 5x²

5x² - 2x² - 10x - 25 = 0

3x² - 10x - 25 = 0

Factor:

(3x + 5) (x - 5) = 0

3x + 5 = 0                    x - 5 = 0
3x = -5                         x = 5
3x/3 = -5/3
x = -5/2

To use the positive root x = 5:
First number; x = 5
Second number: 10+5 = 10

ANSWER:  The numbers are 5 and 10.

Check:

(5)² + (10)² = 5 (5)²
25 + 100 = 5 (25)
125 = 125  (True)
0