Question

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

Answer 1

let the number be x\[x+x^2=30\]\[x^2+x-30=0\]\[(x+6)(x-5)=0\]\[x=-6 ,5\]

Answer 2

so x + x^2 = 30

then the have the quadratic x^2 +x - 30 = 0

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

then x = 5 or -6

Answer 3

-6 and 5 both work

Answer 4

why... (-6)^2 = 36

36 + (-6) = 30.... condition met

Answer 5

exactly^^