Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 164473 by mathocean1 last updated on 17/Jan/22

Show for z_1 ; z_(2 ) ∈ C that: ∣z_1 +z_2 ∣^2 +∣z_1 −z_2 ∣^2 =2(∣z_1 ∣^2 +∣z_2 ∣^2 ).

Showforz1;z2∈Cthat:∣z1+z2∣2+∣z1−z2∣2=2(∣z1∣2+∣z2∣2).

Answered by puissant last updated on 19/Jan/22

∣z_1 +z_2 ∣^2 +∣z_1 −z_2 ∣^2 = ∣z_1 ∣^2 +2∣z_1 ∣∣z_2 ∣+∣z_2 ∣^2 +∣z_1 ∣^2 −2∣z_1 ∣∣z_2 ∣+∣z_2 ∣^2 = 2(∣z_1 ∣^2 +∣z_2 ∣^2 )

∣z1+z2∣2+∣z1−z2∣2=∣z1∣2+2∣z1∣∣z2∣+∣z2∣2+∣z1∣2−2∣z1∣∣z2∣+∣z2∣2=2(∣z1∣2+∣z2∣2)

Commented by mathocean1 last updated on 19/Jan/22

thanks

thanks

Terms of Service

Privacy Policy

Contact: info@tinkutara.com