Math, asked by rpatel0341, 7 months ago

|x²-2x-8|>2x
a. x<2root2
b. x<3+3root5
c. x>2+2root3​

Answers

Answered by darabutterfly242
0

Answer:

Step-by-step explanation:​  

x  

2

 − 2  

2

​  

x − 2  

3

​  

 = 0

Multiplying the equation throughout by  

3

​  

,

3x  

2

 − 2×  

3

​  

×  

2

​  

×x − 6 = 0  

(  

3

​  

x)  

2

 − 2×  

3

​  

x×  

2

​  

 + (  

2

​  

)  

2

 − (  

2

​  

)  

2

 − 6 = 0  

(  

3

​  

x−  

2

​  

)  

2

 − 2 − 6 = 0

(  

3

​  

x−  

2

​  

)  

2

 = 8

(  

3

​  

x−  

2

​  

) = 8  

Or,

(  

3

​  

x−  

2

​  

) = −8  

Therefore,

x =  

3

​  

 

(8+  

2

​  

)

​  

 

Or,

x =  

3

​  

 

(−8+  

2

​  

)

​  

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