2 years ago

Find the range of values for whichx2–5x + 6 < 0

Mathematics

1 answer:

meriva2 years ago

7 0

Answer:

-2<x<3

or x∈(-2,3)

Step-by-step explanation:

x²-5x<-6

add (-5/2)² i.e.,25/4

x²-5x+25/4<-6+25/4

(x-5/2)²<(-24+25)/4

(x-5/2)²<1/4

(x-5/2)²<(1/2)²

|x-5/2|<1/2

-1/2<x-5/2<1/2

Add 5/2

-1/2+5/2<x-5/2+5/2<1/2+5/2

-2<x<3

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Find the range of values for whichx2–5x + 6 < 0​

Find the range of values for whichx2–5x + 6 < 0