Question

The ratio of the sum and product of the roots of the equation 7x² – 12x + 18 = 0 is ______.

पर्याय

• 7 : 12

• 7 : 18

• 3 : 2

• 2 : 3

Answer 1

The ratio of the sum and product of the roots of the equation 7x² – 12x + 18 = 0 is 2 : 3.

Explanation: 

Given: 

7x² – 12x + 18 = 0

∴ `α + β = 12/7` and `β = 18/7`, where α and β are the roots of the equation 

∴ Ratio of the sum and product of the roots = `12/7 : 18/7` 

= 12 : 18

= 2 : 3