Question

Factorise the following polynomials. (1)If x² + 1/x²= 25 then evaluate​

Answer 1

Step-by-step explanation:

To Find :-

The value of Circle and Heart.

Solution :-

Let ❍ = x and ♡ = y

➪ Sum of all figures = 44

x + x + y + 6 + 6 = 44

2x + y + 12 = 44

2x + y = 44 - 12

2x + y = 32 ..eq 1

➪ Also, to be noted that both the side are balanced :

x + x = y + 6 + 6 = 44/2

2x = y + 12 = 22

x = 22/2 and y = 22 - 12

\large \boxed{x = 11 \: and \: y = 10}

x=11andy=10

Verification :

Substituting the values of x and y in Eq.1 :

2x + y = 32

2(11) + 10 = 32

22 + 10 = 32

32 = 32

Hence, the values of x and y found are correct.

Final Answer :

\large \boxed{❍ = x \: and \: ♡ = y }

❍=xand♡=y