Solve the following inequalities: x^4-4x^3-21x^2>0

Frederick Kramer

Frederick Kramer

Answered question

2022-07-01

Solve the following inequalities:
x 4 4 x 3 21 x 2 > 0

Answer & Explanation

Alec Blake

Alec Blake

Beginner2022-07-02Added 11 answers

x 4 4 x 3 21 x 2 > 0
x 2 ( x 2 4 x 21 ) = 0
x 2 ( x 7 ) ( x + 3 ) = 0
( x 7 ) ( x + 3 ) > 0
x = 10 : ( 10 7 ) ( 10 3 ) > 0
( ) ( ) > 0
x = 1 : ( 1 7 ) ( 1 + 3 ) > 0
( ) ( + ) > 0
x = 1 : ( 1 7 ) ( 1 + 3 ) > 0
( ) ( + ) > 0
x = 10 : ( 10 7 ) ( 10 + 3 ) > 0
( + ) ( + ) > 0
Solution: ( ; 3 ) ( 7 ; )
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-07Added 2605 answers

Answer is given below (on video)

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