Question

find two consecutive positive odd numbers the sum of whose square is 514​

Answer 1

Answer is attached above.

hope it helps

Answer 2

Answer:

Let the two consecutive no. be x &x+2 A.T.Q

x^2+(x+2)^2=514

x^2+x^2+4+4x=514

2x^2+4x=514-4

2x^2+4x=510

2x^2+4x-510

x^2+2X-255

x^2+17x-15x-255

X(X+17)-15(X+17) (x+17)(x-15)

X+17=0

X=-17

&

X 15-0

X=15

if the odd no. is

x=-17

X+2=-17+2

x=-15 if the odd no. is

x=15

x+2..

X=15+2

those no. can be -17 or 15

x=17

or it can be 15 or 17

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