Question

3n^2+5^n+1 .find the roots of the equation
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Answer 1

Step-by-step explanation:

3n²+5n+1=0

$there \: \: are \: two \: roots \:$

$\alpha = \: \: - b + \sqrt{b { }^{2} - 4ac} \div 2a$

$b = 5 \: \: \: a = \: \: 3 \: \: c = 1$

$- 5 + \sqrt{5 {}^{2} - 4 \times 31} \div 2 \times 3$

$- 5 + \sqrt{25 - 12 } \div 6 \: \: = - 5 + \frac{ \sqrt{13} }{6}$

$\beta = - b - \sqrt{b {}^{2} - 4ac } \div 2a \: \:$

$- 5 - \frac{ \sqrt{13} }{6}$

answer