a)√4x−1+√4x2−1=1

b)√x2−x+3−√2+x−x2=1

c)4x3+x−(x+1)√2x+1=0

d)x2+2x−8x2−2x+3=(x+1)(√x+2−2)
Câu d:
Đề thi THPT QG môn Toán 2015:
http://tin.tuyensinh247.com/dap-an-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-c28a23223.html
Tham khảo:
http://diendantoanhoc.net/topic/162093-fracx22x-8x2-2x3x1sqrtx2-2/
uk :)) –  Trần Trân 16-08-16 07:54 PM
ta ghét nhất dẫn links! –  ★·.·´¯`·.·★Poseidon★·.·´¯`·.·★ 16-08-16 04:49 PM
a) ĐK:....................
Pt⇔√4x−1−1+√4x2−1=0
⇔4x−2√4x−1+1+√(2x−1)(2x+1)=0
⇔√2x−1.(2√2x−1√4x−1+√2x+1)=0
Từ ĐKXĐ: suy ra x≥12 Do đó phần trong (...........) vô nghiệm
Vậy √2x−1=0⇒......................
b) Đặt {√x2−x+3=a√2+x−x2=b⇒{a>0;b>0a+b=5
Mặt khác từ pt ta có : a−b=1.
kết hợp giải ra ta có: a=3;b=2⇒...............
c) ĐK:......................
Pt⇔8x3+2x−2(x+1)√2x+1=0
⇔8x3+2x=(2x+1)√2x+1+√2x+1
Xét hàm số f(t)=t3+t→f′(t)=3t2+1>0⇒ Đồng biến
Do đó Pt⇔2x=√2x+1. Bạn tự giải nốt nhé!

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