3 C Dan D.docx
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3. c 𝑥 2 − 1 = 3 Penyelesaian: 𝑥 2 − 1 + 1 = 3 + 1 (asosiatif) 𝑥 2 + (−1 + 1) = 4 𝑥2 + 0 = 4 𝑥2 = 4 𝑥 2 − 4 = 4 − 4 (kedua ruas mengurangkan -4) (𝑥 − 2)(𝑥 + 2) = 0
d. (𝑥 − 1)(𝑥 + 2) = 0 𝑥−1=0 𝑥 − 1 + 1 = 0 + 1 (Menambahkan 1 kedua ruasnya) 𝑥 + (−1 + 1) = 1 (asosiatif) 𝑥+0=1 𝑥 = 1 (identitas) 𝑥+2=0 𝑥 + 2 − 2 = 0 − 2 (Menambahkan -2 kedua ruas) 𝑥 + (2 − 2) = −2 (asosiatif) 𝑥 + 0 = −2 𝑥 = −2 (identitas)
Maka jawabannya adalah x=1 dan x=-2
d. (𝑥 − 1)(𝑥 + 2) = 0 𝑥−1=0 𝑥 − 1 + 1 = 0 + 1 (Menambahkan 1 kedua ruasnya) 𝑥 + (−1 + 1) = 1 (asosiatif) 𝑥+0=1 𝑥 = 1 (identitas) 𝑥+2=0 𝑥 + 2 − 2 = 0 − 2 (Menambahkan -2 kedua ruas) 𝑥 + (2 − 2) = −2 (asosiatif) 𝑥 + 0 = −2 𝑥 = −2 (identitas)
Maka jawabannya adalah x=1 dan x=-2
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