Question

a) 2x - 261 = -21

b) 15 . (-2) - x = 45

c) -18 + ( 7 - x)^2 = -2

d) ( 2x - 1 ) chia hết ( x +1)

Answer 1

a: 2x-261=-21

=>\(2x=-21+261=240\)

=>\(x=\dfrac{240}{2}=120\)

b: \(15\cdot\left(-2\right)-x=45\)

=>-30-x=45

=>x=-30-45=-75

c: \(-18+\left(7-x\right)^2=-2\)

=>\(\left(x-7\right)^2-18=-2\)

=>\(\left(x-7\right)^2=-2+18=16\)

=>\(\left[{}\begin{matrix}x-7=4\\x-7=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\\x=3\end{matrix}\right.\)

d: \(2x-1⋮x+1\)

=>\(2x+2-3⋮x+1\)

=>\(-3⋮x+1\)

=>\(x+1\inƯ\left(-3\right)\)

=>\(x+1\in\left\{1;-1;3;-3\right\}\)

=>\(x\in\left\{0;-2;2;-4\right\}\)