SOLUTION: a number minus the ^2 of the number = 2/9

Question 431405: a number minus the ^2 of the number = 2/9
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a number minus the ^2 of the number = 2/9
.
Let x = the number
then
(in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0.111111111111112 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.666666666666667, 0.333333333333333. Here's your graph:

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