giai cac phuong trinh va bat phuong trinh sau:
2(x-1)-5=3(5-3x)
a) Cho phuong trinh x2 +mx+1=0. Tim dieu kien cua m de phuong trinh co nghiem kep. Tinh nghiem kep do
b) Khong giai phuong trinh, chung to phuong trinh 2x2 - 3x - 5 = 0co 2 nghiem phan biet x1 , x2. Tinh ( x1 - x2 )
Giai phuong trinh \(x\sqrt{x^2-x+1}+2\sqrt{3x+1}=x^2+x+3\)
Giai phuong trinh:
a) \(\sqrt{x^2+6}=x-2.\sqrt{x^2-1}\)
b) \(x^2+3x+1=\left(x+3\right).\sqrt{x^2+1}\)
Giai he phuong trinh bang phuong phap cong va phuong phap the
<=> \(\left\{{}\begin{matrix}4x+3x=-6\\\dfrac{x+3y}{3}-\dfrac{y-2}{5}=1\end{matrix}\right.\)
giai phuong trinh 5^4-2 x^2 +3x^2√(x^2 +2)=4
giai phuong trinh
a) \(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
b) x2 - 25 = y ( y + 6 ) (x; y nguyên)
Cho phuong trinh : x2 +( 2m-1 )x +2(m-1) = 0
a) Giai phuong trinh khi m= 2
b) Chung minh phuong trinh co nghiem voi moi m
c) Tim m de phuong trinh co 2 nghiem x1 , x2 thoa man x1 ( x2 - 5 ) + x2 ( x1 - 5 ) = 33
Giai phuong trinh:
\(28+\sqrt[3]{x^2}=3x+2\sqrt[3]{x}+\left(x-4\right)\sqrt{x-7}\)