Question

rezolvați in R ecuatiile; a)|x|=4 b)|x|=√5 c)|x-1|=√2​

Answer 1

a).

|x|=4

x=-4

x=4 ∈ R

b).

|x|=√5

x=√5 ∈ R

x=-√5 ∈ R

c).

|x-1|=√2​

x-1=√2​

x=√2​+1 ∈ R

x-1=-√2​

x=-√2​+1 ∈ R

sper ca te-am ajutat

Answer 2

a)|x|=4

$x_{1} = 4 \\ \\ x_{2} = - 4$

b)|x|=$\sqrt{5}$

$x_{1} = - \sqrt{5} \\ \\ x_{2} = \sqrt{5}$

c)|x-1|=$\sqrt{2}$

x-1=$\sqrt{2}$

x-1+1=$\sqrt{2}$+1

x=$\sqrt{2}$+1

x-1=-$\sqrt{2}$

x-1+1=-$\sqrt{2}$+1

x=-$\sqrt{2}$+1

$x_{1} = - \sqrt{2} + 1 \\ \\ x_{2} = \sqrt{2} + 1$