the sum of anon-negative number and its square is less than 12. Whate could the number be?

2 answers

x + x^2 < 12
x^2 + x - 12 < 0
(x+4)(x-3) < 0
but x > 0

so 0 < x < 3
that is, x has to be between 0 and 3
-× ^2 less than 12
X^2greater than 12