What nùmber added to 1 gives its own square?

Prove that the product of two consecutive even numbers added to 1 gives a perfect square.

Which number added to 16.254 gives 30 ?

When 2 times a number is added to its square we get 8.Find the number by making the equation properly.

Find the number which when added to its square gives a total of 42.

Prove that the sum of any number of terms of the arithmetic sèquence: 16 , 24,32 , .... starting from the first, added. to 9 gives a perfect square.

When 3 is added to a number, the its square gives 100 . Which is the number.

If x is a natural number What number is to be added to x^2+6x to get a perfect square?

The sum of first n terms of an arithmetic sequence is n^2+2n Prove that the sum of continuous terms starting from the first of the sequence 3,5,7,..... added to 1 gives a perfect square.

Try to find out the answers using algebra:. 8 is added to a number and its square becomes 625 .Which is the number ?