Question

[Ngọc Ánh]

Giải các bft

a. \(x^2-2\left(1+\sqrt{2}\right)x+3+2\sqrt{2}>0\)

b. \(\frac{3x^2-10x+3}{x^2+4x+4}\ge0\)

Answer 1

[Đức Huy ABC]

a) Bpt<=>\(x^2-2\left(1+\sqrt{2}\right)x+\left(1+\sqrt{2}\right)^2>0\)

<=>\(\left(x-1-\sqrt{2}\right)^2>0\)

<=>\(x-1-\sqrt{2}\ne0\)

<=>\(x\ne1+\sqrt{2}\)