Question

Tìm x

b) (x-5) (x-4) - (x+1)(x-2)=7

c) (3x-4)(x-2)=3x(x-9)-3

d)(x-3)(x^2+3x+9)+x(5-x^2)=6x

e) (3x-5)(x+1)-(3x-1)(x+1)=x-4

Answer 1

b) \(\left(x-5\right)\left(x-4\right)-\left(x+1\right)\left(x-2\right)=7\)

\(\Leftrightarrow\) \(x^2-4x-5x+20-x^2+2x-x+2\)\(=7\)

\(\Leftrightarrow\) \(-8x+22=7\)

\(\Leftrightarrow\) x= \(\frac{-15}{8}\)

Answer 2

c) \(\left(3x-4\right)\left(x-2\right)=3x\left(x-9\right)-3\)

\(\Leftrightarrow\)\(3x^2-6x-4x+8=3x^2-27x-3\)

\(\Leftrightarrow\) \(3x^2-3x^2-6x-4x+27x=-3-8\)

\(\Leftrightarrow\) \(17x=-11\)

\(\Leftrightarrow\) \(x=\frac{-11}{17}\)

Answer 3

d) \(\left(x-3\right)\left(x^2+3x+9\right)+x\left(5-x^2\right)=6x\)

\(\Leftrightarrow\) \(x^3+3x^2+9x-3x^2-9x-27+5x-x^3=6x\)

\(\Leftrightarrow\) \(x^3+3x^2+9x-3x^2-9x+5x-x^3-6x=27\)

\(\Leftrightarrow\) \(-x=27\)

\(\Leftrightarrow\) \(x=-27\)

Answer 4

e) \(\left(3x-5\right)\left(x+1\right)-\left(3x-1\right)\left(x+1\right)=x-4\)

\(\Leftrightarrow\) \(3x^2+3x-5x-5-3x^2-3x+x+1=x-4\)

\(\Leftrightarrow\) \(-10x-4=x-4\)

\(\Leftrightarrow\) \(-11x=0\)

\(\Leftrightarrow\) \(x=0\)