Question

the sum of the square of two consecutive odd number is 130.what are the numbers​

Answer 1

Answer:

let one odd number be x

then the other consecutive odd natural number will be x+2

x२+(x+2)२ =130

x२+x२+4+4=130

2x२+4x -126 =0

X२+2x×-63 =0

x२+9x-7×-63=0

x(x+9)+-7(x+9)=0

(x+9)(x-7)=0

x=-9,7

hence,one number is 7. then the other number will 9

-9 can not be the answer because natural numbers are always positive