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急 F5 Inequalities Unknown2C03
發問:
請詳細講解以下兩條問題 :(不要網址回答) Solve each of the following quadratic inequalities graphically and represent the solutions on the number line : 1. 2x(s+6)>=(3x+2)(x+2)我計法 : 0>= x^2+4x4 0>=(x-2)(x-2) x<=2 正確答案 : x=2 [甚麼情況用這個做答案,點解 ?] 2. a) -4x^2<=49-28x我計法 : 0<=4x^2-28x+49 (2x-7)(2x-7)>=0... 顯示更多 請詳細講解以下兩條問題 :(不要網址回答) Solve each of the following quadratic inequalities graphically and represent the solutions on the number line : 1. 2x(s+6)>=(3x+2)(x+2)我計法 : 0>= x^2+4x4 0>=(x-2)(x-2) x<=2 正確答案 : x=2 [甚麼情況用這個做答案,點解 ?] 2. a) -4x^2<=49-28x我計法 : 0<=4x^2-28x+49 (2x-7)(2x-7)>=0 x>=7/2正確答案 : any real number [同上一題相似有兩個相同答案,點解咁答 ?] b) Hence, solve -4x^2<=49-28x正確答案 :no solutions [點解 ? ]
最佳解答:
當a>0且α>β時, a(x-α)(x-β)>0,解為x<β or x>α a(x-α)(x-β)≧0,解為x≦β or x≧α a(x-α)(x-β)<0,解為β7/2時這不等式都成立 3. -4x^2≦49-28x 0≦4x^2-28x+49 △=b^2-4ac (-28)^2-4×4×49=0
急 F5 Inequalities Unknown2C03
發問:
請詳細講解以下兩條問題 :(不要網址回答) Solve each of the following quadratic inequalities graphically and represent the solutions on the number line : 1. 2x(s+6)>=(3x+2)(x+2)我計法 : 0>= x^2+4x4 0>=(x-2)(x-2) x<=2 正確答案 : x=2 [甚麼情況用這個做答案,點解 ?] 2. a) -4x^2<=49-28x我計法 : 0<=4x^2-28x+49 (2x-7)(2x-7)>=0... 顯示更多 請詳細講解以下兩條問題 :(不要網址回答) Solve each of the following quadratic inequalities graphically and represent the solutions on the number line : 1. 2x(s+6)>=(3x+2)(x+2)我計法 : 0>= x^2+4x4 0>=(x-2)(x-2) x<=2 正確答案 : x=2 [甚麼情況用這個做答案,點解 ?] 2. a) -4x^2<=49-28x我計法 : 0<=4x^2-28x+49 (2x-7)(2x-7)>=0 x>=7/2正確答案 : any real number [同上一題相似有兩個相同答案,點解咁答 ?] b) Hence, solve -4x^2<=49-28x正確答案 :no solutions [點解 ? ]
最佳解答:
當a>0且α>β時, a(x-α)(x-β)>0,解為x<β or x>α a(x-α)(x-β)≧0,解為x≦β or x≧α a(x-α)(x-β)<0,解為β
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