Răspuns :
a) 2x-x+4=10
b) 2x-x+4= -10
a) x+4=10
x=6
b) x+4= -10
x= -10-4
x= -14
b) 2x-x+4= -10
a) x+4=10
x=6
b) x+4= -10
x= -10-4
x= -14
I metoda
2x-10=Ix+4I
DVA:2x-10≥0⇒x≥5
(2x-10)²=(x+4)²⇔4x²-40x+100=x²+8x+16⇔3x²-48x+84=0 (:3)
x²-16x+28=0
x1=2∉DVA
x2=14∈DVA
S={14)
II metoda
2x-10=x+4 sau -2x+10=x+4
x=14 sau -3x=-6⇔x=2∉DVA
2x-10=Ix+4I
DVA:2x-10≥0⇒x≥5
(2x-10)²=(x+4)²⇔4x²-40x+100=x²+8x+16⇔3x²-48x+84=0 (:3)
x²-16x+28=0
x1=2∉DVA
x2=14∈DVA
S={14)
II metoda
2x-10=x+4 sau -2x+10=x+4
x=14 sau -3x=-6⇔x=2∉DVA