Question

The sum of the square of three positive consecutive integers is fourteen. Find the numbers

Answer 1

Answer:

1 , 2 and 3.

Step-by-step explanation:

• Let the no. be x , x +1 and x+2.

A/Q, x ²+ x² +1 + 2x + x² +4 +4 x = 14

⇒ 3 x ² + 6x  - 9 = 0

⇒  3 x ² + 9 x - 3 x  - 9 = 0

⇒ 3 x ( x + 3) -3 (x +3) = 0

⇒ (3 x - 3 ) ( x + 3) = 0

So x = 1 , -3.

-3 cant possible as it is negative.

So no. are  1 , 2 and 3.

Thank u.