Question

solve this question..please​

Answer 1

Answer:

Step-by-step explanation:

Sum of squares = 452

1 number is equal to x

Assumption

Two consecutive even numbers = x and x + 2

So,

x² + (x + 2)² = 452

x² + x² + 4 + 4x = 452

2x² + 4x = 452 - 4

2x² + 4x = 448

2x² + 4x - 448 = 0

x² + 2x - 224 = 0

Splitting middle term

x² + 2x - 224 = 0

x² + 16x - 14x - 224 = 0

x(x + 16) - 14(x + 16) = 0

(x - 14)(x + 16) = 0

x = 14 and x = -16

Negative value is not acceptable

We get,

x = 14

So,

x + 2 = 14 + 2 = 16

Therefore,

Numbers are 14 and 16

Answer 2

Answer:-

Given:-

⚡Consecutive number .

⚡One number = x

⚡As it is consecutive so let next number ⚡= x + 2.

⚡According to the question:-

⚡x^2 + (x+2)^2 = 452

⚡x^2 +x^2 +4x + 4 = 452

⚡2x^2 +4x = 452 - 4

⚡2x^2 +4x =448

⚡2x^2 + 4x - 448 = 0

Let take common of 2

So,

⚡x^2 + 2x -224 =0

Now let's take it in middle term factor :-

⚡x^2 +16x - 14x -224

⚡x(x + 16 ) - 14 (x + 16 )

⚡(x+16) (x-14)

⚡x+16= 0 , x-14= 0

⚡x= -16 , x= +14

⚡Now we will take X as 14 because it is in a positive form:-

⛄ One number :- X = 14

Next number :- X+ 2 = 14 +2 = 16

⛄ HOPE IT HELP YOU.