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find the zeros of f(x)=x squared-x

Sagot :

We need solve:

x² - x = 0

One simple answer is: x = 0.
Just try it:

0² - 0 = 0 <--- This is a correct statement.

So we already have one answer: x = 0.
Since we have a ² there, we're looking for two answers.
Now, let's divide our function by x.
We then get:

x² / x = x
x / x = 1
0 / x = 0

So

x - 1 = 0

For this, the solution is x = 1.

So there we have two answers:
 x = 0
 x = 1
Panoyinidn
f(x) = x² - x
x² - x = 0
x² - x + 0 = 0
x = -(-1) +/- √((-1)² - 4(1)(0))
                       2(1)
x = 1 +/- √(1 - 0)
               2
x = 1 +/- √(1)
             2
x = 1 +/- 1
           2
x = ¹/₂ + ¹/₂
x = ¹/₂ + ¹/₂      x = ¹/₂ - ¹/₂
x = 1                x = 0
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