Question

If the equation ax² - 7x+c=0 has 14 as the sum of roots and the product of roots. Find a nad c

Answer 1

$\huge\bf{AnSWEr}$

$given \: equation -$

$ax {}^{2} - 7x + c = 0$

$and \\ \alpha + \beta = 14 = \frac{ - b}{a} \\ \\ \alpha \beta = 14 = \frac{c}{a} \\ ie \: \frac{14}{1} = \frac{ - b}{a} \\ - b = 14 \\( b = 14) \\ \\ and \: \: \: (a = 1) \\ and \: (c = 14)$