# How do you solve #x^2-8x-20<0 #?

##### 1 Answer

Jul 2, 2015

#### Answer:

Solve f(x) = x^2 - 8x - 20 < 0

Answer: open interval (-2, 10).

#### Explanation:

First, solve f(x) = 0.

Find 2 numbers knowing sum (8) and product (-20). Roots have different signs.

Factor pairs of (-20) --> (-1, 20)(-2, 10). This sum is 8 = -b. Then the 2 real roots are: -2 and 10.

Use the test point method and number line to solve f(x) < 0.

Substitute x = 0 into the inequality, we get -20 < 0. It is true, then the origin O is located on the solution set, that is the open interval

(-2, 10).

---------------------|-2====|0=================|10--------------