89th Problem 2016

Algebra Level 1

Find the smallest x x -intercept of the following equation:

f ( x ) = x 2 − x f\left( x \right) ={ x }^{ 2 }-x

Check out the set: 2016 Problems


The answer is 0.

Angela Fajardo by Angela Fajardo , 19, Philippines

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2 solutions

The smallest x-interest is the smallest solution to the equation x 2 − x = 0 x^2-x=0 which is 0 \boxed 0

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Hung Woei Neoh
May 12, 2016

At x x -intercepts, f ( x ) = 0 f(x) = 0

x 2 − x = 0 x ( x − 1 ) = 0 x = 0 , 1 x^2 - x = 0\\ x(x-1) = 0\\ x=0,\;1

The smallest x x -intercept is 0 \boxed{0}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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