4x^2>12x-9

kunguwaat81

kunguwaat81

Answered question

2022-11-20

4 x 2 > 12 x - 9

Answer & Explanation

Quinten Cervantes

Quinten Cervantes

Beginner2022-11-21Added 13 answers

Let's rearrange and factorise the inequality
4 x 2 > 12 x + 9
4 x 2 - 12 x + 9 > 0
( 2 x - 3 ) ( 2 x - 3 ) > 0
( 2 x - 3 ) 2 > 0
Let f ( x ) = ( 2 x - 3 ) 2
Therefore,
f ( x ) > 0 ; x - { 3 2 }

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