Question

find ratio of sum and product of roots of 7 x square - 12 x + 18 is equal to zero​

Answer 1

Answer:

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Answer 2

Answer:

2/3 is the answer

Step-by-step explanation:

$7 {x}^{2} - 12x + 18$

Let the zeroes are

$\alpha \: \: and \: \: \beta$

As we know

$\alpha + \beta = \frac{ - b}{a}$

$and \: \: \: \: \alpha \times \beta = \frac{c}{a} = \frac{18}{7}$

$\alpha + \beta = \frac{ 12}{7} \\ \alpha \times \beta = \frac{18}{7} \\ \frac{ \alpha + \beta }{ \alpha \times \beta } = \frac{ \frac{ 12}{7} }{ \frac{18}{7} } \\ \frac{ \alpha + \beta }{ \alpha \times \beta } = \frac{ 12}{18} \\ \: \: \: \: ==> \frac{ 2}{3}$