Question

the difference between the squars of
two consecutive numbers
is 35. The numbers are​

Answer 1

Answer:

numbers are 17 and 18

Step-by-step explanation:

Message me for explaination

Answer 2

Answer :-

• -18
• -17

Given :-

• The difference between the squares of two consecutive numbers is 35.

To Find :-

• The numbers.

Solution :-

Let

• first consecutive number be x
• second consecutive number (x + 1)

Difference between the squares of both is 35.

Equation :- (x + 1)² - x² = 35

According to question :-

(x)² - (x + 1)² = 35

→ x² - (x² + 2x + 1) = 35

→ x² - x² - 2x - 1 = 35

→ - 2x - 1 = 35

→ - 2x = 35 + 1

→ - 2x = 36

→ x = -36/2

→ x = - 18

Now,

• first consecutive number = x = - 18
• second consecutive number = (x + 1) = (-18 + 1) = - 17

Hence, the numbers are -18 and -17 respectively.