Solve-by-computer-programing-if-possible-d-lt-a-lt-b-amp-c-lt-a-b-gt-2c-a-2-b-2-5c-2-2d-2-a-b-c-d-N-c-2-d-2-a-2-i-2c-2-d-2-

Question Number 188442 by BaliramKumar last updated on 03/Mar/23

S o l v e b y c o m p u t e r p r o g r a m i n g

(i f p o s s i b l e) d < a < b & c < a, b > 2 c

a^{2} + b^{2} = 5 c^{2} + 2 d^{2} (a, b, c, d \in N)

c^{2} + d^{2} = a^{2} \dots \dots \dots (i)

{(2 c)}^{2} + d^{2} = b^{2} \dots \dots \dots (i i)

(a, b, c, d) = ?

Answered by nikif99 last updated on 02/Mar/23

M a n y s o l u t i o n s (26 f o r a, b, c, d ⩽ 30)

Commented by nikif99 last updated on 02/Mar/23

Commented by BaliramKumar last updated on 03/Mar/23

n o w 2 e q u a t i o n s & . . ⇊

a > d

a > c

b > a

b > 2 c

b > d

Commented by BaliramKumar last updated on 03/Mar/23

Commented by nikif99 last updated on 03/Mar/23

N o i n t e g e r s o l u t i o n f o r a, b, c, d ⩽ 1000

Commented by BaliramKumar last updated on 03/Mar/23

T h a n k s S i r f o r i n f o r m a t i o n