a) \(\sqrt{2x}\) - \(6\sqrt{2x}\) + \(16\sqrt{2x}\) = 52 <=> \(11\sqrt{2x}\) = 52 <=> \(\sqrt{2x}\) =\(\dfrac{52}{11}\) <=> 2x = \(\dfrac{2704}{121}\) <=> x = \(\dfrac{1352}{121}\)
b) \(3\sqrt{x-1}\) + \(4\sqrt{x-1}\) - \(9\sqrt{x-1}\) + 6 =0 <=> \(-2\sqrt{x-1}\) = -6 <=> \(\sqrt{x-1}\) = 3 <=> x-1 =9 <=> x= 10
giải phương trình
a)\(\sqrt{2x}-\sqrt{98}=0\)
b)\(\sqrt{2x}=\sqrt{8}\)
c)\(\sqrt{5x^2}=\sqrt{20}\)
d)\(\sqrt{2x}-3\sqrt{8x}+4\sqrt{32x}=52\)
e)\(3\sqrt{x-1}+2\sqrt{4x-4}-3\sqrt{9x-9}=-6\)
f)\(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}+2=0\)
g)\(\sqrt{9x^2+18}+2\sqrt{x^2+2}-\sqrt{25x^2+50+3}=0\)
h)\(\sqrt{x-1}=\sqrt{3}\)
k)\(\sqrt{9x^2-6x+1}=3\)
l)\(\sqrt{2x-1}=2\)
m)\(\sqrt{x+2}=\sqrt{3-x}\)
n)\(\sqrt{4x^2}-4x+1=\sqrt{7-4\sqrt{3}}+\sqrt{7+4\sqrt{3}}\)
Giải phương trình:
a. \(3\sqrt{8x}-\sqrt{32x}+\sqrt{50x}=21\)
b. \(\sqrt{25x+50}+3\sqrt{4x+8}-2\sqrt{16x+32}=15\)
c. \(\sqrt{\left(x-2\right)^2}=12\)
d. \(\sqrt{x^2-6x+9}-3=5\)
e.\(\sqrt{\left(2x-1\right)^2}-x=3\)
f. \(\sqrt{3x-6}-x=-2\)
h. \(\sqrt{3-2x}-2=x\)
Giải phương trình sau:
a) \(\sqrt{4x+20}-3\sqrt{5+x}+\dfrac{4}{3}\sqrt{9x+45}=6\)
b) \(\dfrac{1}{2}\sqrt{x-1}-\dfrac{3}{2}\sqrt{9x-9}+24\sqrt{\dfrac{x-1}{64}}=-17\)
c) \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
d) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6\)
Giải phương trình
a \(\sqrt{x^2-4}-3\sqrt{x-2}=0\)
b \(x-6\sqrt{x}+9=0\)
c \(\sqrt{9x-27}+\sqrt{x-3}-\frac{1}{2}\sqrt{4x-12}=7\)
d \(3\sqrt{8x+4}-\frac{1}{3}\sqrt{18x+9}-\frac{1}{2}\sqrt{50x+25}+\sqrt[]{\frac{2x+1}{4}}=6\)
Giải các phương trình sau:
a.\(3\sqrt{18x}-5\sqrt{8x}+4\sqrt{50x}=38\)
b.\(3\sqrt{12x}-2\sqrt{27x}+4\sqrt{3x}=8\)
c.\(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)
Giải các phương trình sau:
a) \(\sqrt{25x^2-9}-2\sqrt{5x+3}=0\)
b) \(\dfrac{\sqrt{x-3}}{\sqrt{2x+1}}=2\)
c) \(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
Bài 1: giải p.trình
a,\(\sqrt{x^2-4x+4}=1\)
b,\(\sqrt{1-4x+4x^2}=5\)
c,\(\sqrt{a\left(1-2x+x^2\right)}-6=0\)
d,\(\sqrt{9x^2}=2x+1\)
e,\(\sqrt{9-6x+x^2}=x\)
Giải các phương trình sau:
a. \(\sqrt{\left(3x-1\right)^2}=5\)
b. \(\sqrt{4x^2-4x+1}=3\)
c. \(\sqrt{x^2-6x+9}+3x=4\)
d. \(3\sqrt{9x+9}-\sqrt{36x+36}+2\sqrt{4x+4}=12\)
a) 4sqrt(2x + 1) - sqrt(8x + 4) + 1/2 * sqrt(32x + 16) = 12 b) sqrt(4x ^ 2 - 4x + 1) = 5 . c) (2sqrt(x) - 3)/(sqrt(x) - 1) = - 1/2
