True or False?
2006-09-02 09:14:23 · 5 answers · asked by chris 2 in Education & Reference ➔ Homework Help
For all real values of x, x^2 - 4x + 4 = | x^2 - 4x + 4 |
sorry forgot the exponet symbol
2006-09-02 09:19:32 · update #1
True.
According to the definition of absolute value, a = |a| when a is greater than or equal to zero.
x2 - 4x + 4 = (x -2)2, which is always greater than or equal to zero regardless of the value of x, therefore x2 - 4x + 4 = its absolute value.
2006-09-02 09:21:44 · answer #1 · answered by Hex 2 · 0⤊ 0⤋
if you factor both sides of the polynomial (its a perfect square) and set them =0. so (x-2)(x-2)=0, x-2=0, and x=2 and |(x-2)(x-2)=0|, so |x-2=0|, |x=2|. The absolute value of |2| is 2, so for this equation, the answer would be correct.
2006-09-02 16:23:11 · answer #2 · answered by cinquefoil_solis 3 · 0⤊ 0⤋
it is true because you can change it to this form . (x2-2)^2 . so it true .
2006-09-02 16:30:20 · answer #3 · answered by arash 3 · 0⤊ 0⤋
true
2006-09-02 16:23:38 · answer #4 · answered by butterfly06 2 · 0⤊ 0⤋
true
2006-09-02 16:20:00 · answer #5 · answered by Brooks&Dunn's#1fan 2 · 0⤊ 0⤋