Tìm x biết: ( x + 1 ) + ( x + 4 ) + ( x + 7 ) + ….. + ( x + 49 ) = 442 Ghi mỡi kết quả thui nhé 14/09/2021 Bởi Melanie Tìm x biết: ( x + 1 ) + ( x + 4 ) + ( x + 7 ) + ….. + ( x + 49 ) = 442 Ghi mỡi kết quả thui nhé
$\text{(x + 1) + (x + 4) + (x + 7) + …. + (x + 49) = 442}$ $\text{(x × 17) + (1 + 4 + 7 + … + 49) = 442}$ $\text{x × 17 + 442 = 442}$ $\text{x × 17 = 442 – 442}$ $\text{x × 17 = 1}$ $\text{⇒ x = 1}$ Bình luận
`(x+1)+(x+4)+(x+7)+…+(x+49)=442` `⇒(\underbrace{x+x+…+x}_{\text{17 số hạng}})+(1+4+7+…+49)=442` `⇒17×x+425=442` `⇒17×x+425=442` `⇒17×x=17` `⇒x=1` Bình luận
$\text{(x + 1) + (x + 4) + (x + 7) + …. + (x + 49) = 442}$
$\text{(x × 17) + (1 + 4 + 7 + … + 49) = 442}$
$\text{x × 17 + 442 = 442}$
$\text{x × 17 = 442 – 442}$
$\text{x × 17 = 1}$
$\text{⇒ x = 1}$
`(x+1)+(x+4)+(x+7)+…+(x+49)=442`
`⇒(\underbrace{x+x+…+x}_{\text{17 số hạng}})+(1+4+7+…+49)=442`
`⇒17×x+425=442`
`⇒17×x+425=442`
`⇒17×x=17`
`⇒x=1`