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![]() 28 tháng 7 2021
1) Xét (O) có DA là tiếp tuyến có A là tiếp điểm DC là tiếp tuyến có C là tiếp điểm Do đó: DA=DC Xét (O) có EC là tiếp tuyến có C là tiếp điểm EB là tiếp tuyến có B là tiếp điểm Do đó: EC=EB Ta có: DE=DC+CE nên DE=DA+EB ![]() 5 tháng 5 2020
a,\(6x^2+x-5=0\) \(\Delta=b^2-4ac=1^2-4.6.\left(-5\right)=1+120=121\) Vì \(\Delta>0\)nên pt có 2 nghiệm phân biệt \(x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-1-\sqrt{121}}{2.6}=\frac{-1-11}{12}=\frac{-12}{12}=-1\) \(x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-1+\sqrt{121}}{2.6}=\frac{-1+11}{12}=\frac{10}{12}=\frac{5}{6}\) Vậy \(S=\left\{-1;\frac{5}{6}\right\}\) b, \(3x^2+4x+2=0\) \(\Delta=b^2-4ac=4^2-4.3.2=16-24=-8\) Vì \(\Delta< 0\)nên pt vô nghiệm c, \(x^2-8x+16=0\) \(\Delta=b^2-4ac=\left(-8\right)^2-4.1.16=64-64=0\) Vì \(\Delta=0\)nên pt có nghiệm kép \(x_1=x_2=\frac{-b}{2a}=\frac{-b'}{a}=\frac{8}{4}=\frac{4}{2}=2\)
MN
8 tháng 4 2020
a) \(6x^2+x-5=0\) Ta có : \(\Delta=1+4.6.5=121>0\) \(\Rightarrow\sqrt{\Delta}=11\) Phương trình có hai nghiệm : \(x_1=\frac{-1+11}{2.6}=\frac{5}{6}\) \(x_2=\frac{-1-11}{2.6}=-1\) b) \(3x^2+4x+2=0\) Ta có : \(\Delta=4^2-4.3.2=-8< 0\) Vậy phương trình vô nghiệm c) \(x^2-8x+16=0\) Ta có : \(\Delta=\left(-8\right)^2-4.1.16=0\) Phương trình có nghiệm kép : \(x_1=x_2=\frac{8}{2}=-4\) |