Question

find the ratio of the sum and product of the roots of the equation 7x2-12x+18=0

Answer 1

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Answer 2

Answer:

2 : 3

Step-by-step explanation:

7x² - 12x + 18

Find the sum of the roots:

Sum of the roots = α + β

α + β = - b/a

α + β = - (-12 ) / 7 = 12/7

Find the product of the roots:

Product of the roots = αβ

αβ = c/a

αβ = 18/7

Find the ratio:

α + β : αβ = 12/7 : 18/7

Multiply by 7:

α + β : αβ = 12 : 18

Divide by 6:

α + β : αβ = 2 : 3

Answer:  2 : 3