Question

Na equação |2x-1| = |x+3|, determine os valor de x

Answer 1

2x(-1 (x-1) = x+3
2× +2= 3x
2x +3x = 2
5x= 2
x 5/2
x= 2,5

Answer 2

 |2x-1| = |x+3|,

√(2x-1)²  =√(x+3)²

(2x-1)²=(x+3)²

4x²-4x+1=x²+6x+9

3x²-10x-8=0

x'=[10+√(100-96)]/6=(10+14)/6=4

x''=[10-√(100-96)]/6=(10-14)/6=-4/6=-2/3