Question

How do you five the standard form of the following quadratic equations and identify the constants a, b and c `3x^2 = 5 - 2x`?

Answer 1

The standard form of the quadratic equation is `3x^2 + 2x - 5 = 0`, `a = 3`, `b = 2`, and `c = -5`.

Explanation:

Standard form of a quadratic equation is `ax^2 + bx + c = 0`, so we will use inverse operations to get all the terms on the left , equal to `0` on the right.

`3x^2 = 5 - 2x`
`3x^2 + 2x = 5 - 2x + 2x`
`3x^2 + 2x = 5`
`3x^2 + 2x - 5 = 5 - 5`
`3x^2 + 2x - 5 = 0`

Now that the quadratic equation is in standard form, we can identify the constants `a`, `b`, and `c`.

`a = 3`, `b = 2`, and `c = -5`