Question

The sum of a positive number and its square is 20. find the number.

Answer 1

the answer is 4

4 + 16 = 20

Answer 2

so x+x^2=20
subtract 20 from both sdies
x^2+x-20=0
factor
find what 2 nmbers multiply to get -20 and add to get 1

factors of 20=2 times 2 times 5
the combos are
2 times 10
4 times 5
1 times 20

4 and 5 are 1 in diference
5-4=1
5 times 4=20


(x-4)(x+5)=0
if xy=0 then x and/or y=0
set each to zero
x-4=0
add 4
x=4


x+5=0
subtract 5
x=-5
but you want positive so this is an extranius answer so discard this


the number is 4