Question

Express 75 as a difference of the squares of 2 consecutive numbers​

Answer 1

Step-by-step explanation:

let the first number be x

and the second number is x+1

NOW,

The square of 1st no. = x²

the square of 2nd no. = (x+1) ²

A. T. P

( X² +2X+ 1) - X² = 75

2X +1 = 75

2X = 76

X = 76 / 2

X = 38

THEREFORE, THE THE FIRST NUMBER IS 38

SECOND NUMBER IS 39

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