We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
170
1
avatar

Find the positive real value of t that satisfies \(|t+2i\sqrt{3}| |6-4i| = 26\)

 Mar 21, 2019

Best Answer 

 #1
avatar+6046 
+2

\(|t+2i\sqrt{3}||6-4i|=26\\ |t+2i\sqrt{3}|^2|6-4i|^2=676\\ (t^2+12)(36+16)=676\\ t^2 + 12 = 13\\ t^2 = 1\\ t = \pm 1\\ \text{The positive value of }t \text{ satisfying above is }1\)

.
 Mar 21, 2019
 #1
avatar+6046 
+2
Best Answer

\(|t+2i\sqrt{3}||6-4i|=26\\ |t+2i\sqrt{3}|^2|6-4i|^2=676\\ (t^2+12)(36+16)=676\\ t^2 + 12 = 13\\ t^2 = 1\\ t = \pm 1\\ \text{The positive value of }t \text{ satisfying above is }1\)

Rom Mar 21, 2019

32 Online Users

avatar
avatar