Question

If the sum of the roots of quadratic equation ax²-5x+1=0 is 15 then the value of a is

Answer 1

Value of a is $\frac{1}{3}$

$Sum \: of \: the \: roots = - \frac{b}{a} \\ 15 = - \frac{( - 5)}{a} \\ 15 = \frac{5}{a} \\ a = \frac{5}{15} = \frac{1}{3}$

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