Question

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

a = , b = 3, c = 2
a = , b = –3, c = –2
a = , b = 3, c = –2
a = , b = –3, c = 2

Answer 1

The values of a, b, and c in the quadratic equation are:

`a=1\\b=-3\\c=-2`

Explanation:

The general form of a quadratic equation is as follows

`ax^2 + bx +c`

Where a, b and c are real numbers that represent the coefficients of the quadratic equation and
`a \\eq 0`

In this case we have the following quadratic equation

`x^2 - 3x - 2`

Therefore, notice that:

`a=1\\b=-3\\c=-2`

Answer 2

For this case we have that by definition, a quadratic equation is of the form:

`ax ^ 2 + bx + c = 0`

Where the roots are given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}`

We have the following equation:

`x ^ 2-3x-2 = 0`

Then, according to the definition, the values are:

`a = 1\\b = -3\\c = -2`

Answer:

`a = 1\\b = -3\\c = -2`