Question 146693
The sum of a number and its square is 30.  Find the number.  

I need not only the answer but the method of how it is solved.
 
This is what I think the method is  X + 30= Xsquared

x- the number
the formula would be like this:
X^2+x=30

transpose 30:
X^2+x-30=0

then., i call this nxt step trial and error., 

(x+6)(x-5)=0

to get the equation., follow this steps

1. extract the square root of the first term., (x  )(x  )=0
2. think of factors of thr third term which will be equl to the numerical coefficient of the second term.,(x+6)(x-5)=0

last step would be... equate each binomial to zero to get the values of x...
x+6=0
x=-6

x-5=0
x=5

that's it! the values of x are: 5 & -6

i hope u understood it., god bless!