The sum of 2 numbers is 17 and their product is 66

1.	The sum of 2 numbers is 17 and their product is 66
Answer» The two numbers are 11 and 6 Step-by-step explanation: LET the numbers be x and y. Then ACCORDING to the condition x + y = 17 ...... eq (1) xy =66 ........ eq (2) From equation (2), we have x = 66/y Substituting the VALUE of x in eq (1) 66/y + y = 17 (66 + y2 )/y= 17 66 + y2 = 17y y2 -17y +66 = 0 Now, we need to FACTORIZE the it y2 -11y -6y +66 = 0 y(y-11) -6 (y-11) = 0 (y-11)(y-6)=0 This shows, y = 11,6

Answer»

The two numbers are 11 and 6

Step-by-step explanation:

LET the numbers be x and y. Then ACCORDING to the condition

x + y = 17 ...... eq (1)

xy =66 ........ eq (2)

From equation (2), we have

x = 66/y

Substituting the VALUE of x in eq (1)

66/y + y = 17

(66 + y2 )/y= 17

66 + y2 = 17y

y2 -17y +66 = 0

Now, we need to FACTORIZE the it

y2 -11y -6y +66 = 0

y(y-11) -6 (y-11) = 0

(y-11)(y-6)=0

This shows,

y = 11,6