Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?

Correct Choice: Second Option

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

where a,b, and c are constants.

Solving with the quadratic formula:

We have the following equation to solve:

Rearranging all the terms to the left side:

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

Correct Choice: Second Option

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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