It is known that x ≤ - 3, and the reduction is: | - x | + │ X-2 │ - │ X-5 │

It is known that x ≤ - 3, and the reduction is: | - x | + │ X-2 │ - │ X-5 │


x≤-3
Then x



Given 1 ≤ x ≤ 5, simplify | 1-x | + | X-5 |
If ab ≠ 0, then the value of a / A + B / B is given.


1-x≤0
x-5≤0
So the original formula = - (1-x) - (X-5)
=-1+x-x+5
=4



If x + 1 / x = √ 5 is known, then the simplified X-1 / X is


x+1/x=√5
Square on both sides
x²+2+1/x²=5
x²+1/x²=3
(x-1/x)²
=x²-2+1/x²
=3-2
=1
So X-1 / x = ± 1