giúp đi mà mn oie………………. Question giúp đi mà mn oie………………. in progress 0 Môn Toán Latifah 4 years 2020-10-14T01:56:10+00:00 2020-10-14T01:56:10+00:00 2 Answers 110 views 0
Answers ( )
2) $5x(2 – x) – 2 + x = 0$
$\Leftrightarrow (2-x)(5x -1) = 0$
$\Leftrightarrow \left[\begin{array}{l}2 – x = 0\\5x -1 = 0\end{array}\right.$
$\Leftrightarrow \left[\begin{array}{l} x = 2\\x = \dfrac{1}{5}\end{array}\right.$
4) $x^2(2x -3) + 12 – 8x = 0$
$\Leftrightarrow x^2(2x – 3) – 4(2x -3) = 0$
$\Leftrightarrow (2x -3)(x^2 – 4) = 0$
$\Leftrightarrow (2x – 3)(x-2)(x +2) = 0$
$\Leftrightarrow \left[\begin{array}{l}2x -3 = 0\\x -2 = 0\\x +2 = 0\end{array}\right.$
$\Leftrightarrow \left[\begin{array}{l}x= \dfrac{3}{2}\\x =2\\x= -2\end{array}\right.$
6) $x^3 +3x^2 +3x +1 = 8x^3$
$\Leftrightarrow (x +1)^3 = (2x)^3$
$\Leftrightarrow x + 1 = 2x$
$\Leftrightarrow x = 1$
8) $x^3 + 2x^2 = -x$
$\Leftrightarrow x(x^2 + 2x +1) = 0$
$\Leftrightarrow x(x +1)^2 = 0$
$\Leftrightarrow \left[\begin{array}{l}x = 0\\x + 1 = 0\end{array}\right.$
$\Leftrightarrow \left[\begin{array}{l}x = 0\\x = -1\end{array}\right.$
$2) 5x(2 – x) – 2 + x = 0$
$⇔ 5x(2 – x) – (2 – x) = 0$
$⇔ (2 – x)(5x – 1) = 0$
$⇔ \left[ \begin{array}{l}2-x=0\\5x-1=0\end{array} \right.$
$⇔ \left[ \begin{array}{l}x=2\\x=\frac{1}{5}\end{array} \right.$
$4) x²(2x – 3) + 12 – 8x = 0$
$⇔ x²(2x – 3) – (8x – 12) = 0$
$⇔ x²(2x – 3) – 4(2x – 3) = 0$
$⇔ (x² – 4)(2x – 3) = 0$
$⇔ (x – 2)(x + 2)(2x – 3) = 0$
$⇔\left[\begin{array}{ccc}x-2=0\\x+2=0\\2x-3=0\end{array}\right]$
$⇔\left[\begin{array}{ccc}x=2\\x=-2\\x=\frac{3}{2}\end{array}\right]$
$6) x³ + 3x² + 3x + 1 = 8x³$
$⇔ 7x² – 3x² – 3x – 1 = 0$
$⇔ (x – 1)(7x² + 4x + 1) = 0$
$⇔ x – 1 = 0$
$⇔ x = 1$
Giải thích:
Ta có: $7x² + 4x + 1 = 7x² + 4x + \frac{4}{7} + \frac{3}{7} = (x\sqrt{7} + \frac{2\sqrt{7}}{7})² + \frac{3}{7} > 0$ với mọi x => $7x² + 4x + 1 = 0$ là vô lý ( vô nghiệm )
$8) x³ + 2x² = -x$
$⇔ x³ + 2x² + x = 0$
$⇔ x(x² + 2x + 1) = 0$
$⇔ x(x + 1)² = 0
$⇔\left[ \begin{array}{l}x=0\\x+1=0\end{array} \right.$
$⇔\left[ \begin{array}{l}x=0\\x=-1\end{array} \right.$