Question

6. The number x is 2 more than the number y. If
the sum of the squares of x and y is 34; find
the product of x and y.​

Answer 1

Answer:

15

Step-by-step explanation:

x = y+2

According to question,

x²+ y ²= 34

(y+2)² +y² = 34

y²+4y+4+y²-34=0

2y²+4y-30 = 0

y²+2y-15 = 0

y²+5y-3y-15 = 0

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

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

y= 3 or y = -5

for y= 3, x= 3+2=5

x×y = 5(3) = 15

for y = -5 , x= -5+2 = -3

x×y =(-5)(-3) = 15