1. x 2 − 169 = 0 x 2 − 1 3 2 = 0 ( x − 13 ) ( x + 13 ) = 0 ⟺ x = 13 ∨ x = − 13
2. x 2 + 14 x + 49 = 0 x 2 + 2 x ⋅ 7 + 7 2 = 0 ( x + 7 ) 2 = 0 ( x + 7 ) ( x + 7 ) = 0 ⟺ x = − 7
3. x 2 − 17 x + 42 = 0 x 2 − 14 x − 3 x + 42 = 0 x ( x − 14 ) − 3 ( x − 14 ) = 0 ( x − 14 ) ( x − 3 ) = 0 ⟺ x = 14 ∨ x = 3
4. 2 x 2 − 9 x − 5 = 0 2 x 2 − 10 x + x − 5 = 0 2 x ( x − 5 ) + 1 ( x − 5 ) = 0 ( x − 5 ) ( 2 x + 1 ) = 0 \iffx = 5 ∨ x = − 2 1
5. 3 x 2 + 11 x − 4 = 0 3 x 2 + 12 x − x − 4 = 0 3 x ( x + 4 ) − 1 ( x + 4 ) = 0 ( x + 4 ) ( 3 x − 1 ) = 0 ⟺ x = − 4 ∨ x = 3 1
6. t hi s s am e l ik e 1. x 2 − 196 = 0 x 2 − 1 4 2 = 0 ( x − 14 ) ( x + 14 ) = 0 ⟺ x = 14 ∨ x = − 14
The equations can be factored and their zeros found through various methods depending on the structure of the equation, including factoring by grouping, recognizing perfect squares, and utilizing the difference of squares formula. The zeros found are as follows: 13, -13; -7; 14, 3; 5, -1/2; -4, 1/3. The set of zeros includes repeated factors depending on the equation.
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Jawaban:Rp.835Penjelasan dengan langkah-langkah:Diket:harga telur 1 butir = Rp. 15harga gula 1 kg = Rp 120uang = Rp. 1000Dit: Berapa uang kembaliannyajawab:3 butir telur = Rp 15 ×3 = Rp. 451 kg gula = Rp 120total belanja = Rp 45 + Rp 120 = Rp 165uang kembalian = Rp. 1000 - Rp. 165 = Rp. 835jadi uang kembaliannya adalah Rp 835