Question

Tìm x biết

a) 4.(2x-4)+2=18

b) 5³+(18.x-65).3=26²+10

c) |x-10|+2².5=5⁵

d) (x-2)²-2³.5=104

Answer 1

Lời giải:

a.

$4(2x-4)+2=18$

$4(2x-4)=16$

$2x-4=16:4=4$

$2x=4+4=8$

$x=8:2$

$x=4$

b.

\(5^3+(18x-65).3=26^2+10\)

$125+3(18x-65)=686$

$3(18x-65)=686-125=561$

$18x-65=561:3=187$

$18x=187+65$

$18x=252$

$x=252:18=14$

c.

\(|x-10|+2^2.5=5^5\)

$|x-10|+20=3125$

$|x-10|=3125-20=3105$

$\Rightarrow x-10=3105$ hoặc $x-10=-3105$

$\Rightarrow x=3115$ hoặc $x=-3095$

d.

\((x-2)^2-2^3.5=104\)

$(x-2)^2-40=104$

$(x-2)^2=104+40=144=12^2=(-12)^2$

$\Rightarrow x-2=12$ hoặc $x-2=-12$

$\Rightarrow x=14$ hoặc $x=-10$