Toán Lớp 6: 20-2(x-1)^2=2 27+288:(x-3)^2=35 Help meeeee

Question

Toán Lớp 6:  20-2(x-1)^2=2 27+288:(x-3)^2=35 Help meeeee

hiennhi98 · Answer

20 -2(x-1)^2 =2

=> 2(x-1)^2 = 20 -2

=> 2(x-1)^2 =18

=> (x-1)^2 = 18 : 2

=> (x-1)^2 =9

=> $\left[ \begin{array}{l}x-1 =3\\x-1= (-3)\end{array} \right.$

=> $\left[ \begin{array}{l}x=4\\x=-2\end{array} \right.$
Vậy x \in {4 ; (-2)}

$\\$

27 +288 : (x-3)^2 =35

=> 288 : (x-3)^2 = 35 -27

=> 288 : (x-3)^2 = 8

=> (x-3)^2 = 288 :8

=> (x-3)^2= 36

=> $\left[ \begin{array}{l}x-3 =6\\x-3 =(-6)\end{array} \right.$

=> $\left[ \begin{array}{l}x=9\\x=-3\end{array} \right.$

Vậy x \in {9 ; (-3)}

thanhmaianh · Answer

Giải đáp+Lời giải và giải thích chi tiết:        20 - 2(x - 1)&sup2; = 2       &hArr; 2(x - 1)&sup2; = 20 - 2       &hArr; 2(x - 1)&sup2; = 18       &hArr; (x - 1)&sup2; = 18 : 2       &hArr; (x - 1)&sup2; = 9       &hArr; (x - 1)&sup2; = 3&sup2;       &hArr; x - 1 = 3       &hArr; x = 3 + 1       &hArr; x = 4       27 + 288 : (x - 3)&sup2; = 35       &hArr; 288 : (x - 3)&sup2; = 35 - 27       &hArr; 288 : (x - 3)&sup2; = 8       &hArr; (x - 3)&sup2; = 288 : 8       &hArr; (x - 3)&sup2; = 36       &hArr; (x - 3)&sup2; = 6&sup2;       &hArr; x - 3 = 6       &hArr; x = 6 + 3       &hArr; x = 9