Question

Factorise : x^2+66x-8011

Answer 1

Given:

A quadratic equation x² + 66x - 8011

To Find:

The factors of the given equation (i.e., to factorise the given equation).

Calculation:

- Here:

a = 1

b = 66

c = -8011

- Using the quadratic formula:

x = {-b +- √(b² - 4 ac)}/ 2a

=> x = {-66 +- √(66) ²- 4 × 1 × (-8011)}/ 2 × 1

=> x = {-66 +- √(4356 + 32044}/ 2

=> x = {-66 +- √36400}/ 2

=> x = {-66 +- 20√91}/ 2

=> x = {-33 +- 10√91}

- So, the factors of the given equation are {-33 + 10√91} and {-33 - 10√91}.