What are the roots of y = x² - 3x - 10?

Solution:

Given function is y = x² - 3x - 10

Factorizing the quadratic function the given function we can write:

y = x² - 3x - 10

y = x² - 5x + 2x - 10

y = x(x - 5) + 2(x - 5)

= (x - 5)(x + 2)

To find the roots of the given equation the factors have to be equated to zero as shown below:

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = -2

What are the roots of y = x² - 3x - 10?

Summary:

The roots of y = x² - 3x - 10 are 5 and -2