*Không cần đúng hết, 3/4 là được a)100-7.x³=289 b)9(5-x)²=36 c)x.(5x+20)=0 03/10/2021 Bởi Ivy *Không cần đúng hết, 3/4 là được a)100-7.x³=289 b)9(5-x)²=36 c)x.(5x+20)=0
Giải thích các bước giải: `a)100-7.x³=289``=>7x^3=100-289``=>7x^3=-189``=>x^3=-189:7``=>x^3=-27``=>x^3=(-3)^3``=>x=-3`Vậy `x=-3``b)9(5-x)²=36``=>(5-x)^2=36:9``=>(5-x)^2=4``=>(5-x)^2=(+-2)^2`TH`1``5-x=2``=>x=5-2``=>x=3`TH`2``5-x=-2``=>x=5+2``=>x=7`Vậy `x\in{3;7}``c)x.(5x+20)=0`TH`1``x=0`TH`2``5x+20=0``=>5x=0-20``=>5x=-20``=>x=-20:5``=>x=-4`Vậy `x\in{0;-4}` Bình luận
$a,100-7x^3=289$ $⇒-7x^3=289-100$ $⇒-7x^3=189$ $⇒x^3=-27$ $⇒x=\sqrt[3]{-27}$ $⇒x=-3$ $b,9(5-x)^2=36$ $⇒(5-x)^2=36:9$ $⇒(5-x)^2=4$ $⇒$\(\left[ \begin{array}{l}5-x=2\\5-x=-2\end{array} \right.\) $⇒$\(\left[ \begin{array}{l}x=3\\x=7\end{array} \right.\) $c,x(5x+20)=0$ $⇒$\(\left[ \begin{array}{l}x=0\\5x+20=0\end{array} \right.\) $⇒$\(\left[ \begin{array}{l}x=0\\5x=-20\end{array} \right.\) $⇒$\(\left[ \begin{array}{l}x=0\\x=-4\end{array} \right.\) Bình luận
Giải thích các bước giải:
`a)100-7.x³=289`
`=>7x^3=100-289`
`=>7x^3=-189`
`=>x^3=-189:7`
`=>x^3=-27`
`=>x^3=(-3)^3`
`=>x=-3`
Vậy `x=-3`
`b)9(5-x)²=36`
`=>(5-x)^2=36:9`
`=>(5-x)^2=4`
`=>(5-x)^2=(+-2)^2`
TH`1`
`5-x=2`
`=>x=5-2`
`=>x=3`
TH`2`
`5-x=-2`
`=>x=5+2`
`=>x=7`
Vậy `x\in{3;7}`
`c)x.(5x+20)=0`
TH`1`
`x=0`
TH`2`
`5x+20=0`
`=>5x=0-20`
`=>5x=-20`
`=>x=-20:5`
`=>x=-4`
Vậy `x\in{0;-4}`
$a,100-7x^3=289$
$⇒-7x^3=289-100$
$⇒-7x^3=189$
$⇒x^3=-27$
$⇒x=\sqrt[3]{-27}$
$⇒x=-3$
$b,9(5-x)^2=36$
$⇒(5-x)^2=36:9$
$⇒(5-x)^2=4$
$⇒$\(\left[ \begin{array}{l}5-x=2\\5-x=-2\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}x=3\\x=7\end{array} \right.\)
$c,x(5x+20)=0$
$⇒$\(\left[ \begin{array}{l}x=0\\5x+20=0\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}x=0\\5x=-20\end{array} \right.\)
$⇒$\(\left[ \begin{array}{l}x=0\\x=-4\end{array} \right.\)