Question

Write the quadratic equation in the form ax2 bx c 0 ginven the following roots use method 1 an dmethod 2 show your solution

Answer 1

To write a quadratic equation in the form ax^2 + bx + c = 0, given the roots, you can use two methods: Method 1 involves identifying the roots, expanding and simplifying the equation, and rearranging terms. Method 2 involves using the formula a(x - p)(x - q) to write the equation and then simplifying it.

Step-by-step explanation:

To write a quadratic equation in the form ax^2 + bx + c = 0, given the roots, we can use two methods:

Method 1:

1. Step 1: Identify the roots of the equation. Let's say the roots are x = p and x = q.
2. Step 2: Use the equation (x - p)(x - q) = 0 to expand and simplify.
3. Step 3: Multiply out the terms and rearrange them to get the equation in the form ax^2 + bx + c = 0.

Method 2:

1. Step 1: Identify the roots of the equation. Let's say the roots are x = p and x = q.
2. Step 2: Use the formula ax^2 + bx + c = a(x - p)(x - q) to write the equation.
3. Step 3: Simplify the equation by expanding and rearranging terms to get it in the form ax^2 + bx + c = 0.