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Let a and b be the solutions to 5x^2 - 11x + 4 = 0 Find:
\([\frac{1}{a} + \frac{1}{b}]\)

 Feb 28, 2021
 #1
avatar+944 
+2

sum of roots = -b/a = 11/5

 

product of roots = c/a = 4/5

 

 

\(\frac{1}{a} + \frac{1}{b} = \frac{a+b}{ab} = \frac{\frac{11}{5}}{\frac{4}{5}} = \boxed{\frac{11}{4}}\)

 Feb 28, 2021
 #2
avatar+155 
0

Tysm!

 Mar 1, 2021

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