Question

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

Answer 1

Step-by-step explanation:

Lets get the two numbers as X and (X+1).

Your question is,

(X+1)²−X²=35

Right?

Lets solve your question step by step.

(X²+2X+1)−X²=35

2X+1=35

2X=34

X=17

See. It's easy.

Well you said integers right? So some miner adjustments needed.

The values can be both negative or positive.

The square of a negative number is equal to the square of its positive number too.

Ex: (-5)² = (+5)²

So the two consecutive numbers are either,

17, 18

Or,

-17, -18.

Answer 2

Answer:

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

Lєt thє 2 numвєrs вє ( х - 1 ) αnd х

gívєn thαt, díffєrєncє вєtwєєn thє squαrєs σf thє twσ numвєrs ís 35.

$\Large{\underline{\underline{\bf{SoLuTioN:-}}}}$

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❥ х² - ( х - 1 )² = 35

❥ х² - ( х² - 2х + 1 ) = 35

❥ х² - х² + 2х - 1 = 35

❥ 2х - 1 = 35

❥ 2х = 35 + 1 = 36

❥ х = 36 ÷ 2 = 18

❥ ( х - 1 ) = 18 - 1

❥ ( х - 1 ) = 17

Thєrєfσrє thє twσ cσnsєcutívє numвєrs αrє 17 αnd 18.

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