Question

Find the number if the square root of another number that is 6 greater than this number is equal to the number itself.

Answer 1

The number is 3 and the another number is 9

Explanation:

Let

x-------> the number

y-----> another number

we know that

`y=x+6` ----> equation A

`√(y)=x` ----> equation B

Substitute equation A in equation B

`√(x+6)=x`

squared both sides

`x+6=x^(2) \\x^(2)-x-6=0`

Using a graphing tool

solve the quadratic equation

see the attached figure

The solution is x=3

Find the value of y

`y=x+6` ------->
`y=3+6=9`