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
57
1
avatar

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

 Oct 10, 2019

Best Answer 

 #1
avatar+6045 
+1

\(|t+2i\sqrt{3}||6-4i|=26\\~\\ |6-4i| = \sqrt{36+16} = \sqrt{52}=2\sqrt{13}\\~\\ |t+2i\sqrt{3}| = \dfrac{26}{2\sqrt{13}} = \sqrt{13}\\~\\ t^2 + 4\cdot 3 = 13\\ t=1\)

.
 Oct 10, 2019
 #1
avatar+6045 
+1
Best Answer

\(|t+2i\sqrt{3}||6-4i|=26\\~\\ |6-4i| = \sqrt{36+16} = \sqrt{52}=2\sqrt{13}\\~\\ |t+2i\sqrt{3}| = \dfrac{26}{2\sqrt{13}} = \sqrt{13}\\~\\ t^2 + 4\cdot 3 = 13\\ t=1\)

Rom Oct 10, 2019

9 Online Users

avatar