Solve using the quadratic formula x² - 2x - 4 = 0

Solution:

Quadratic equations are second-degree algebraic expressions and are of the form ax² + bx + c = 0.

The word "Quadratic" is derived from the word "Quad" which means square.

In other words, a quadratic equation is an “equation of degree 2.”

Given quadratic equation:

x² - 2x - 4 = 0

We use a quadratic formula to find roots.

x = [-b ± (√b² - 4ac)]/2a

x = [-(-2) ± √(-2)² - 4(1)(-4)] /2(1)

x = [2 ± (√4 + 16)] /2

x = (2 ± √20) /2

x = 1 ± √5

Solve using the quadratic formula x² - 2x - 4 = 0

Summary:

By solving the quadratic formula x² - 2x - 4 = 0, we get solution as x = 1 ± √5.