Sum of the square of the two consecative natural number is 20

1.	Sum of the square of the two consecative natural number is 20
Answer» LET the NUMBERS be X, X+1 (X+X+1)² = 20 (2X + 1)² = 20 4X² + 1 + 4X = 20 4X² + 4X = 19 4(X² + X) = 19 X² + X = 19/4 X² + X = 4.75 X(X+ 1) = 4.75 so, X = √(4.75/X)

Answer»

LET the NUMBERS be X, X+1

(X+X+1)² = 20

(2X + 1)² = 20

4X² + 1 + 4X = 20

4X² + 4X = 19

4(X² + X) = 19

X² + X = 19/4

X² + X = 4.75

X(X+ 1) = 4.75

so, X = √(4.75/X)

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Sum of the square of the two consecative natural number is 20​

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Sum of the square of the two consecative natural number is 20