Welcome to Algebra Solutions - Day 2

Solving Quadratic Equations

Today, we will learn how to solve quadratic equations using the quadratic formula. A quadratic equation is typically written in the form:

ax² + bx + c = 0

The solutions can be found using the quadratic formula:

Where:

• a, b, and c are coefficients of the equation.
• Δ = b² - 4ac (the discriminant).

Example Problem:

Solve the equation 2x² - 4x - 6 = 0.

Using the coefficients a=2, b=-4, c=-6:

First, calculate the discriminant: Δ = (-4)² - 4(2)(-6) = 16 + 48 = 64

Next, use the quadratic formula to find 'x':

Thus, the solutions are x = 3 and x = -1.