I.The difference between two numbers is 5. Their product is 36.
1 answer:
Equ 1: X-Y=5 equ 2: x∗y=36 from Equ 1 X=5+Y------equ 3 substitute x=5+y in equ 2 (5+y)∗y=36 5y+y^2=36 y^2+5y-36=0 factorize by substitution (y^2+9y)-(4y-36)=0 y(y+9)-4(y+9)=0 (y-4)(y+9)=0 y=4 or y=-9.... substitute y=4 or -9 in equ 1 x-4=5 x=5+4 x=9 OR x-(-9)=5 x+9=5 x=5-9 x=-4 since -4∗-9=36 therefore y=-9 and x=-4
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