Question

Rezolvati R in ecuatiile :
a) |4x-5|=1
b) 3(2-x) = 5(x-1) - 7(5-x )- 2x - 3
c) (5x+1)² + (12x-5)² = (13x-1)² + 1
URGENT !
Multumesc !

Answer 1

a)
$4x-5=1$ sau$4x-5=-1$
[tex]x_1 = \frac{1+5}{4} = \frac{6}{4} =\frac{3}{2} \\ \\ x_2= \frac{-1+5}{4} = \frac{4}{4} =1 \\ \\ S=\{1, \frac{3}{2} \}[/tex]

b)
$6-3x=5x-5-35+7x-2x-3 \\ 13x=49 \\ x= \frac{49}{13}$

c)
$25 x^{2} +10x+1+144 x^{2} -120x+25=169 x^{2} -26x+1+1 \\ -84x=-24 \\ x= \frac{7}{2}$