Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
a,\(\sqrt{x^2-5x+4}+\sqrt{x+1}=\sqrt{x-2}+\sqrt{x^2-2x-3}\)
b,\(\sqrt{x^2-3x+2}+\sqrt{x^2-4x+3}=2\sqrt{x^2-5x=4}\)
c,\(\sqrt{4x^2+9x+5}+\sqrt{2x^2+x-1}=\sqrt{x^2-1}\)
a.\(\dfrac{5x^3-2x^2+2,5x-2,6}{x^2+3x-2,7}\) tại \(x=\sqrt{0,7}\)
b.\(\dfrac{2x^4-5x^3+2x^2-5x-30}{x^2+10x-15}\) tại \(x=-\sqrt{5}\)
a. \(2x^2-8x-3\sqrt{x^2-4x-5}=12\)
b. \(\left(x-3\right)\left(x+2\right)-3\sqrt{x^2-x+1}+9=0\)
c. 12\(-\sqrt{4-3x}=|3x-4|\)
d. \(\sqrt{3x-2}+\sqrt{x-1}=4x-9+2\sqrt{3x^2-5x+2}\)
Giải các phương tình sau:
a) \(x^3-3x^2+12x-5=2\sqrt{5x-1}+\sqrt[3]{3x-2}\)
b) \(4x^2+24x+17=2\sqrt{2x+5}+\sqrt[3]{4x+10}\)
c) \(2x^3-5x^2+16x-3=2\sqrt[3]{4x-1}+\sqrt[3]{2x+7}\)
d) \(2x^2+11x+12=2\sqrt{2x+3}+\sqrt[3]{x+2}\)
e) \(2x^2+3x-3-2\sqrt{2x+1}-\sqrt[3]{4x+2}=0\)
Giải pt : a) \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
b) \(\left(x-1\right)\sqrt{x^2+5}+x=x^2+1\)
c)\(\sqrt{x+2}+2x-10=\sqrt{2x-3}\)
d)\(\sqrt{2x-3}-\sqrt{x}=2x-6\)
e) \(\sqrt{4x^2+5x+1}-2\sqrt{x^2-x+1}=9x-3\)
Giải các phương trình sau:
a) \(x^3-x^2+2x=\sqrt{2x-1}+\sqrt{4x-3}\)
b) \(x^3-x^2+3x+13=4\left(\sqrt{x+3}+\sqrt{3x+1}\right)\)
c) \(x^3-4x^2+6x-1=\sqrt{2x-3}+2\sqrt{x-1}\)
d) \(x^3+4x^2+9x+9=2\sqrt{3x+4}+\sqrt{2x+3}\)
e) \(2x^2-4x+11=2\sqrt{3x-5}+3\sqrt{2x+5}\)
Giải các phương trình sau:
a) \(x^3-x^2+2x=\sqrt{2x-1}+\sqrt{4x-3}\)
b) \(x^3-x^2+3x+13=4\left(\sqrt{x+3}+\sqrt{3x+1}\right)\)
c) \(x^3-4x^2+6x-1=\sqrt{2x-3}+2\sqrt{x-1}\)
d) \(x^3+4x^2+9x+9=2\sqrt{3x+4}+\sqrt{2x+3}\)
e) \(2x^2-4x+11=2\sqrt{3x-5}+3\sqrt{2x+5}\)
Giải phương trình
1.\(\sqrt{2x-3}-\sqrt{5-2x}=3x^2-12x+14\)
2.\(x^2+2x+15=6\sqrt{4x+5}\)
3.\(x^2-5x-8=2\sqrt{x-2}\)
4.\(\sqrt{x+1+\sqrt{x+\frac{3}{4}}}=x+1\)
Cho
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