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Solusi - Ecuaciones de valor absoluto

Bentuk eksak: =3,3
=-3 , 3

Cara Lain untuk Mengatasinya

Ecuaciones de valor absoluto

Penjelasan langkah demi langkah

1. Tulis ulang persamaan tanpa batang nilai absolut

Use the rules:
|x|=|y|x=±y and |x|=|y|±x=y
to write all four options of the equation
|3|=|z|
without the absolute value bars:

|x|=|y||3|=|z|
x=+y(3)=(z)
x=y(3)=(z)
+x=y(3)=(z)
x=y(3)=(z)

Cuando se simplifica, las ecuaciones x=+y y +x=y son la misma y las ecuaciones x=y y x=y son la misma, por lo que terminamos con solo 2 ecuaciones:

|x|=|y||3|=|z|
x=+y , +x=y(3)=(z)
x=y , x=y(3)=(z)

2. Selesaikan dua persamaan untuk

3=z

Tukar ruas:

z=3

3 tambahan langkah

3=z

Tukar ruas:

z=3

Kalikan kedua ruas dengan :

-z·-1=-3·-1

Hapus salah satu:

z=-3·-1

Sederhanakan hitungan:

z=3

3. Daftar solusinya

=3,3
(2 solution(s))

4. Grafik

Each line represents the function of one side of the equation:
y=|3|
y=|z|
The equation is true where the two lines cross.

Alasan mempelajari materi ini

We encounter absolute values almost daily. For example: If you walk 3 miles to school, do you also walk minus 3 miles when you go back home? The answer is no because distances use absolute value. The absolute value of the distance between home and school is 3 miles, there or back.
In short, absolute values help us deal with concepts like distance, ranges of possible values, and deviation from a set value.