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# Math problem. Ty for the help!

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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
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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
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Tysm!

Mar 1, 2021