Câu Hỏi 1) 2(x-3)-5x(-1) = 5x^2 2) 10x+3-5x=4x+12 NHANH LÊN AE ƠI 2 CÂU Ngon bổ rẻ nhanh TAy nào 22/10/2021 Bởi Gianna Câu Hỏi 1) 2(x-3)-5x(-1) = 5x^2 2) 10x+3-5x=4x+12 NHANH LÊN AE ƠI 2 CÂU Ngon bổ rẻ nhanh TAy nào
Đáp án: $1)$$S=\{2;\dfrac{-3}{5}\}$ $2)$$S=\{9\}$ Giải thích các bước giải: $1) 2(x-3)-5x(-1)=5x^2$ $⇔2x-6+5x=5x^2$ $⇔5x^2-7x+6=0$ $⇔x^2-$$\dfrac{7}{5}x-$ $\dfrac{6}{5}=0$ $⇔x^2-$$\dfrac{7}{5}x=$ $\dfrac{6}{5}$ $⇔x^2-$$\dfrac{7}{5}x+\dfrac{49}{100}$= $\dfrac{6}{5}+\dfrac{49}{100}$ $⇔x^2-$$\dfrac{7}{5}x+\dfrac{49}{100}$= $\dfrac{169}{100}$ $⇔\bigg(x-$$\dfrac{7}{10}\bigg)^2=$ $\bigg(\dfrac{13}{10}\bigg)^2$ $⇔x-$$\dfrac{7}{10}= ±\dfrac{13}{10}$ $⇔x= \dfrac{7}{10}±\dfrac{13}{10}$ \(⇔\left[ \begin{array}{l}x=\dfrac{7+13}{10}\\x=\dfrac{7-13}{10}\end{array} \right.\) \(⇔\left[ \begin{array}{l}x=\dfrac{20}{10}\\x=\dfrac{-6}{10}\end{array} \right.\) \(⇔\left[ \begin{array}{l}x=2\\x=\dfrac{-3}{5}\end{array} \right.\) Vậy $S=\{2;\dfrac{-3}{5}\}$ $2)10x+3-5x=4x+12$ $⇔5x+3=4x+12$ $⇔5x-4x=12-3$ $⇔x=9$ Vậy $S=\{9\}$ Bình luận
Đáp án: 1) $2(x-3)-5x(-1) = 5x²$ ⇔$2x-6-5x²-5x=5x²$ ⇔$2x-5x²-5x-5x²=6$ ⇔$-3x=6$ ⇔$x=-2$ Vậy pt có nghiệm $S={-2}$ 2) $10x+3-5x=4x+12$ ⇔$5x+3=4x+12$ ⇔$5x-4x=12-3$ ⇔$x=9$ vậy pt có nghiệm $S={9}$ xin 5sao và tlhn nha bạn:3 !học tốt! @Dinosieucute Bình luận
Đáp án:
$1)$$S=\{2;\dfrac{-3}{5}\}$
$2)$$S=\{9\}$
Giải thích các bước giải:
$1) 2(x-3)-5x(-1)=5x^2$
$⇔2x-6+5x=5x^2$
$⇔5x^2-7x+6=0$
$⇔x^2-$$\dfrac{7}{5}x-$ $\dfrac{6}{5}=0$
$⇔x^2-$$\dfrac{7}{5}x=$ $\dfrac{6}{5}$
$⇔x^2-$$\dfrac{7}{5}x+\dfrac{49}{100}$= $\dfrac{6}{5}+\dfrac{49}{100}$
$⇔x^2-$$\dfrac{7}{5}x+\dfrac{49}{100}$= $\dfrac{169}{100}$
$⇔\bigg(x-$$\dfrac{7}{10}\bigg)^2=$ $\bigg(\dfrac{13}{10}\bigg)^2$
$⇔x-$$\dfrac{7}{10}= ±\dfrac{13}{10}$
$⇔x= \dfrac{7}{10}±\dfrac{13}{10}$
\(⇔\left[ \begin{array}{l}x=\dfrac{7+13}{10}\\x=\dfrac{7-13}{10}\end{array} \right.\)
\(⇔\left[ \begin{array}{l}x=\dfrac{20}{10}\\x=\dfrac{-6}{10}\end{array} \right.\)
\(⇔\left[ \begin{array}{l}x=2\\x=\dfrac{-3}{5}\end{array} \right.\)
Vậy $S=\{2;\dfrac{-3}{5}\}$
$2)10x+3-5x=4x+12$
$⇔5x+3=4x+12$
$⇔5x-4x=12-3$
$⇔x=9$
Vậy $S=\{9\}$
Đáp án:
1) $2(x-3)-5x(-1) = 5x²$
⇔$2x-6-5x²-5x=5x²$
⇔$2x-5x²-5x-5x²=6$
⇔$-3x=6$
⇔$x=-2$
Vậy pt có nghiệm $S={-2}$
2) $10x+3-5x=4x+12$
⇔$5x+3=4x+12$
⇔$5x-4x=12-3$
⇔$x=9$
vậy pt có nghiệm $S={9}$
xin 5sao và tlhn nha bạn:3
!học tốt!
@Dinosieucute