When the following quadratic equation is written in standard form, what is the value of "c" for the equation x² + 4x = 3.

Solution:

We will use the concept of the general form of quadratic equation in order to find the value of c.

The general form of a quadratic equation is represented by ax² + bx + c, where a, b, c are real numbers and a cannot be 0.

We have been given the equation in the form of x² + 4x = 3.

In order to convert the equation in the general form, we will subtract 3 from the sides of the equation x² + 4x = 3.

Now, we will get x² + 4x - 3 = 0 and this quadratic equation is in general form.

Hence, on comparison of  x² + 4x - 3 = 0 with ax² + bx + c = 0 we get, a = 1, b = 4, c = -3.

Hence, the value of c = -3

When the following quadratic equation is written in standard form, what is the value of "c" for the equation x² + 4x = 3.

Summary:

x² + 4x - 3 = 0 is the general form of the given quadratic equation x² + 4x = 3 with c = -3.