Question

the sum of squares of two consecutive odd natural numbers is 130. Find the numbers.​

Answer 1

Answer:

65 and 65

Step-by-step explanation:

let the two numbers be x and x

∴x+x=130

2x=130

x=65

Answer 2

Answer:

let the two consecutive odd natural number be x and x+2

given x

2

+(x+2)

2

=x

2

+x

2

+4x+4=130

x

2

+2x+2=65

x

2

+2x−63=0

x

2

+9x−7x−63=0

x(x+9)−7(x+9)=0

(x+9)(x−7)=0

x=7 or x=−9

if x=7,x+2=9

if x=−9,x+2=−7

since x the number should be natural x



=−9

∴ 7 and 9 are two consecutive natural number

Step-by-step explanation:

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