A few days ago
victoria 123

the difference of two natural number is 2 and the sum of their squares is 100. find these numbers?

pls help me I have a quiz tomorrow

Top 3 Answers
A few days ago
♪ вμttεгƒlŷ ♪

Favorite Answer

Let the two natural no.’s be x and x-2

x2 + (x-2)2 =100

x2 + x2 -4x + 4 =100

2×2 – 4x + 4= 100

2×2 – 4x – 96 =0

2×2 – 16x +12x – 96 =0

2x(x-8) -12(x-8) =0

(2x-12)(x-8)=0

Either

2x-12=0

2x=12

x=6

Therefore, the two no.’s are x=6 and x+2=8

Ans. 6 and 8

0

A few days ago
Max T
8 and 6
0

A few days ago
My-E
X-Y=2

XxX+YxY=100

X=8

Y=6

which grade are you ?

0