x^2-9x+18>0

Alice Chen

Alice Chen

Answered question

2022-11-09

x 2 - 9 x + 18 > 0

Answer & Explanation

boursecasa2je

boursecasa2je

Beginner2022-11-10Added 15 answers

First, solve f(x) = x^2 - 9x + 18 = 0.
Roots have same sign. Factor pairs of (18) --> (2, 9)(3, 6). This sum is 9 = -b. Then the 2 real roots are: 3 and 6.
Use the algebraic method to solve f(x) > 0. Between the 2 real roots
(3) and (5), f(x) < 0 as opposite to the sign of a = 1. f(x) is positive (> 0) outside the interval (3, 5).
Answer by open intervals: (-infinity, 3) and (5, infinity)

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