Dari Wikibuku bahasa Indonesia, sumber buku teks bebas
- Tentukan nilai x dari persamaan
!
- Tentukan nilai x dari persamaan
!
Jawaban
- Buat batas-batas untuk masing-masing tanda mutlak
- Untuk | x^2 - 4x - 12 |
![{\displaystyle |x^{2}-4x-12|=\left\{{\begin{matrix}x^{2}-4x-12,&{\mbox{maka penyelesaian}}x^{2}-4x-12\geq 0\\\\-(x^{2}-4x-12),&{\mbox{maka penyelesaian}}x^{2}-4x-12<0\end{matrix}}\right.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/00f4fb1f7e19a39fe2f5c143d969f2e4c88ed758)
- Batasan f(x)
![{\displaystyle x^{2}-4x-12\geq 0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cba4a6066b3fc69417bc86a2f23a0814203df3b4)
- Dibuat harga nol
![{\displaystyle x^{2}-4x-12=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b5e012ce99f3f7903e30bc89a863c5bb6e5d303)
![{\displaystyle (x+2)(x-6)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3af4278839dcbd5b259fb9eac202369553640d91)
![{\displaystyle x=-2\lor x=6}](https://wikimedia.org/api/rest_v1/media/math/render/svg/80839acc5e371797a799325a9fc71fe0f1e7039e)
- Dibuat irisan
![{\displaystyle x\leq -2\lor x\geq 6}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7596b74889c6f268acd0300c537b3b6ed267bd04)
- Batasan -f(x)
![{\displaystyle x^{2}-4x-12<0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ccb825e7668362345afed7614fc6ae910f109433)
- Dibuat harga nol
![{\displaystyle x^{2}-4x-12=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b5e012ce99f3f7903e30bc89a863c5bb6e5d303)
![{\displaystyle (x+2)(x-6)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3af4278839dcbd5b259fb9eac202369553640d91)
![{\displaystyle x=-2\lor x=6}](https://wikimedia.org/api/rest_v1/media/math/render/svg/80839acc5e371797a799325a9fc71fe0f1e7039e)
- Dibuat irisan
![{\displaystyle -2<x<6}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cda7171deb18e8ef3b40eb5027004f2293f42453)
- Untuk | 7 - 6x |
![{\displaystyle |7-6x|=\left\{{\begin{matrix}7-6x,&{\mbox{maka penyelesaian}}7-6x\geq 0\\\\-(7-6x),&{\mbox{maka penyelesaian}}7-6x<0\end{matrix}}\right.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c11d31773a697e7a441960395c1b284ec870c9c4)
- Batasan f(x)
![{\displaystyle 7-6x\geq 0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c5ab281b78bd9ef81aef98b21aaba426ec929993)
![{\displaystyle x\leq {\frac {7}{6}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/865e0385f41494a5ba1440be23abb35a1be601e4)
- Batasan -f(x)
![{\displaystyle 7-6x<0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/38199b9a3023ddff382d75aa3c2fd14b3d9443cd)
![{\displaystyle x>{\frac {7}{6}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9a4eeb2ef847f55f7f2e0b851337b8c283cfb7b3)
- Keempat batas-batas akan dibuat irisan
- Untuk x <= -2
![{\displaystyle x^{2}-4x-12-(7-6x)=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/02e337ca4877136fa4192596213b7de8d8db13df)
![{\displaystyle x^{2}-4x-12-7+6x-5=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f6730ed3888fbe3fb0b771fab45d952e6f41e23c)
![{\displaystyle x^{2}+2x-24=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3561b384e9756ec1358c6376e77a47593114663b)
![{\displaystyle (x+6)(x-4)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c9866552048b3cb0077d0932977f5dc1d2025cf)
![{\displaystyle x=-6\lor x=4}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cf33f658e73fc36679e98a90df8500489c927bde)
- Hanya
yang memenuhi
- Untuk -2 < x <= 7/6
![{\displaystyle -(x^{2}-4x-12)-(7-6x)=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6b146a9aa35807c82e345a6e7a4ae4eebb10526d)
![{\displaystyle -x^{2}+4x+12-7+6x-5=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/70a61393720106821c053719040ea9065a6be8d3)
![{\displaystyle x^{2}-10x=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/889142d737cf93d588b6a58acf05aed23291ae9f)
![{\displaystyle x(x-10)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9a045ae2e62d629fa6c4cb582355a28a1953a769)
![{\displaystyle x=0\lor x=10}](https://wikimedia.org/api/rest_v1/media/math/render/svg/361fac235ab86b3ee8a42739884f1a027d6d9d75)
- Hanya
yang memenuhi
- Untuk 7/6 < x < 6
![{\displaystyle -(x^{2}-4x-12)-(-(7-6x))=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e1fb17f384f2383fcff6639fe846eba059da6c5f)
![{\displaystyle -x^{2}+4x+12+7-6x-5=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0bc5d627c80d6df193ca4e9631045718d818836e)
![{\displaystyle x^{2}+2x=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6851c2a154e5f5eaa325a8010532a5a6b483d337)
![{\displaystyle x(x+2)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/02dbbba17837c9bdcd69f6a4aa97e600ada8e199)
![{\displaystyle x=0\lor x=-2}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a8ce6f5174104fbc1efcdaea204a4c8c3ae88521)
- Tidak ada yang memenuhi
- Untuk x >= 6
![{\displaystyle x^{2}-4x-12-(-(7-6x))=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5d176b3000c23e9c566ba407094b20e3a3455ca5)
![{\displaystyle x^{2}-4x-12+7-6x-5=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a914a7080909867cefbea5c0e8c031e31f5272e1)
definit +
- Tidak ada yang memenuhi
![{\displaystyle HP=\{x|x=\{-6,0\},x\in R\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/50d60fe8f1df33d574268b07620fb4767e1cecc2)
- Tentukan nilai x dari persamaan
!
- Tentukan nilai x dari persamaan
!