Question

Find the sum and product of roots of the quadratic equation

3x2 +7x + 1 = 0​

Answer 1

Answer:

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Answer 2

Given,

Quadratic equation = 3x²+7x+1 = 0

To find,

The sum and product of the roots of the given quadratic equation.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

By comparing the given given quadratic equation with the general form of quadratic equation which is ax²+bx+c = 0, we get

a = 3

b = 7

c = 1

Let, the two roots = α and β

Sum of two roots = α + β = -b/a = -7/3

Product of two roots = α × β = c/a = 1/3

Hence, sum and product of two roots are -7/3 and 1/3 respectively.