Find the sum and the product of the roots of the equation : [1 MARK]
$5 x^{2} - 10 x + 3 = 0$

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Solution

Sum : 0.5 Mark
Product : 0.5 Mark

Given equation is,

$5 x^{2} - 10 x + 3 = 0$

$\Rightarrow a = 5, b = - 10, c = 3$

Sum of roots is,

$α + β = - \frac{b}{a} = - \frac{(- 10)}{5} = 2$

Product of roots

$α β = \frac{c}{a} = \frac{3}{5}$

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