Answer:
(4.5, 8) and (8, 4.5)
Step-by-step explanation:
Given the equations
(x+y)=12.5 ... 1
X ×Y=36 .... 2
From 2, Y = 36/X
Substitute into 1
x+ 36/x = 12.5
x^2 + 36 = 12.5x
x^2 - 12.5x + 36 = 0
10x^2 - 125x + 360 = 0
2x^2 - 25x + 72 = 0
Factorize
2x^2 - 16x - 9x + 72 = 0
2x(x-8)-9(x-8) = 0
2x-9 = 0 and x-8 = 0
x = 9/2 and x = 8
when x = 9/2
Y = 36/(9/2)
Y = 36 * 2/9
Y = 8
When x = 8
Y = 36/X
Y = 36/8
Y = 4.5
Hence the solutions are (4.5, 8) and (8, 4.5)
