Question

If 6 is added to the square of a number, the result is 55. Find the number​

Answer 1

Answer:

7

Step-by-step explanation:

x^2 + 6= 55 (let the squared number be x)

x^2 = 55-6 (Sign changes when moved to RHS)

x^2= 49

x= √49

hence, x= 7

Hope it helps :)))

Answer 2

Step-by-step explanation:

Given :-

6 is added to the square of a number, the result is 55.

To find :-

Find the number ?

Solution:-

Let the number be X

The square of the number = X^2

On 6 is adding to the square of the number =

X^2 + 6

The result = 55

=> X^2 + 6 = 55

=> X^2 = 55 - 6

=> X^2 = 49

=> X =±√49

=> X = ±7

=> X = 7 or -7

Answer:-

The required number for the given problem is 7 or -7

Check :-

If the number is 7 then

Square of 7 = 7^2 = 49

On adding 6 to it = 49+6 = 55

If the number is -7 then

Square of -7 = (-7)^2 = 49

On adding 6 to it = 49+6 = 55

Verified the given relations in the problem.