Question

find two consecutive odd integers, sum of whose squore is 970​

Answer 1

Answer:

let the two consecutive odd integers be X and X+1

Step-by-step explanation:

(X)^2 (X+1)^2 =970

solve this you will get the answers

Answer 2

Let the two consecutive numbers be x and x+2 ( as they r consecutive odd)
Now
x^2+ (x+2)^2= 970
x^2+x^2+4+4x=970
2x^2+4x -966=0
2x^2+46x-42x-966=0
2x(x+23)-42(x+23)=0
(2x-42)(x+23)=0
x = 42/2 =21 and as x cannot be negative we neglect (x+23) case
Therefore two consecutive odd numbers = 21 , 23