Giai cac pt:
a, \(2x^2-8x+\sqrt{x^2-4x-5}=13\)
b, \(\sqrt{1-x}+\sqrt{4+x}=3\)
c, \(x^3+4x+5=2\sqrt{2x+3}\)
d, \(2\sqrt{2x+4}+4\sqrt{2-x}=\sqrt{9x^2-16}\)
e, \(\sqrt[3]{x-2}+\sqrt{x+1}=3\)
1. Cho pt: x2 -2(m+1)x+m2=0 (1). Tìm m để pt có 2 nghiệm x1 ; x2 thỏa mãn (x1-m)2 + x2=m+2.
2. Giai pt: \(\left(x-1\right)\sqrt{2\left(x^2+4\right)}=x^2-x-2\)
3. Giai hệ pt: \(\left\{{}\begin{matrix}\frac{1}{\sqrt[]{x}}-\frac{\sqrt{x}}{y}=x^2+xy-2y^2\left(1\right)\\\left(\sqrt{x+3}-\sqrt{y}\right)\left(1+\sqrt{x^2+3x}\right)=3\left(2\right)\end{matrix}\right.\)
4. Giai pt trên tập số nguyên \(x^{2015}=\sqrt{y\left(y+1\right)\left(y+2\right)\left(y+3\right)}+1\)
Giải các PT sau:
a)\(\sqrt{x+3}+2\sqrt{x+1}=2x+\sqrt{x^2+4x+3}\)
b)\(2\sqrt{x+3}=9x^2-x-4\)
giải pt \(\sqrt{4x^2+5x+1}+3=2\sqrt{x^2-x+1}+9x\)
Giải PT: \(\sqrt{x^2+2x}+\sqrt{9x-3}=\sqrt{4x^2+13x+3}\)
Giải pt:
\(x^2-4x+6=\sqrt{2x^2-5x+3}+\sqrt{-3x^2+9x-5}\)
Giải PT : \(\sqrt{4x^2+5x-1}-2\sqrt{x^2-x-1}=9x+3\)
Giai pt:
\(\dfrac{6x-3}{\sqrt{x}-\sqrt{1-x}}=3+2\sqrt{x-x^2}\)
Giải PT a, \(5\sqrt{2x^2+3x+9}=2x^2+3x+3\)
b. \(9-\sqrt{81-7x^3}=\frac{x^3}{2}\)
c. \(x^2+3-\sqrt{2x^2-3x+2}=\frac{3}{2}\left(x+1\right)\)
d. \(\sqrt{9x-2x^2}-9x+2x^2+6=0\)
e. \(\sqrt{x^2+x-1}+\sqrt{x-x^2+1}=x^2-x+2\)
f. \(\sqrt{x^2+x-5}+\sqrt{x-x^2+3}=x^2-3x+4\)