Question

resolvq a equação modular:


2|x|²+3|x|-14=0

URGENTE​

Answer 1

|X| = y

2y^2 + 3y - 14 = 0

delta: 3^2 - 4 . 2 . (-14)

y' = 121

-3+-11/4

y' = -3+11/4 = 2

y" = -3 -11/4 = -14/4 = -7/2

|x| = y

|X| = 2

x = 2 ou x = -2

Answer 2

|x|=k

2k²+3k-14=0

Δ=9-4.2.(-14)

Δ=9+112

Δ=121

x=-3±11/4

x'=-3+11/4 ----> x'=8/4 ---> x'=2

x''=-3-11/4 ----> x''=-14/4 ---> x''= -7/2

|x|=k

|2|=2

|-7/2|= 7/2