Makakuha ng mabilis at eksaktong mga sagot sa IDNStudy.com. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

find two numbers whose difference is 5 and the difference of their squares is 65 .involving quadratic equations

Sagot :

Find two numbers whose difference is 5 and the difference of their squares is 65 .involving quadratic equations

x-y= 5

x^2-y^2= 65

 

x-y= 5

x= 5 +y

x^2= (5 +y) (5 +y)

x^2= (25 + 5y +5y+ y^2)

x^2= 25 + 10y+ y^2

 

x^2-y^2= 65

25 + 10y+ y^2-y^2= 65

25 + 10y = 65

10y = 65-25

10y = 65-25

10y = 40

10y/10 = 40/10

y=4

 

x-y= 5

x-4= 5

x= 5+4

x= 9

 

x^2-y^2= 65

9^2-4^2= 65

81-16=65

65=65

 

Answer:

x= 9

y=4