Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x2 + 36x + 35 = 0 D) 9x2 − 36x − 35 = 0

Option A)

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

The sum of the roots and the product of the roots can be calculated as:

Standard form of quadratic equation:

Putting values, we get,

is the required quadratic equation.

Thus, the correct answer is

Option A)

A)9x^2 − 36x + 35 =0

Step-by-step explanation:

9x^2 − 36x = −35

Using the zero-product property, write the solutions as factors of the quadratic equation and multiply:

(x − 5/3)(x − 7/3) = 0

9x2 − 36x + 35 = 0

9x2 − 36x = −35