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  How do I solve the following 144x^4-169y^6 -5t^2-11t+12 y(y-2)-6(2-y)  

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monique06 | (Level 3) Valedictorian

Posted May 11, 2013 at 5:06 PM via web

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How do I solve the following

144x^4-169y^6

-5t^2-11t+12

y(y-2)-6(2-y)

 

3 Answers | Add Yours

Top Answer

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llltkl | College Teacher | (Level 3) Valedictorian

Posted May 11, 2013 at 5:36 PM (Answer #1)

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Part 1,

`144x^4-169y^6`

`=(12x^2)^2-(13y^3)^2`

`=(12x^2+13y^3)(12x^2-13y^3)`

 

Part 2:

`-5t^2-11t+12`

`=-(5t^2+11t-12)`

`=-(5t^2+15t-4t-12)`

`=-{5t(t+3)-4(t+3)}`

`=(t+3)(4-5t)`

 

Part 3,

y(y-2)-6(2-y)

=y(y-2)+6(y-2)

=(y-2)(y+6)

Top Answer

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oldnick | (Level 1) Valedictorian

Posted May 12, 2013 at 4:06 AM (Answer #2)

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`144x^4-169v^6=(12x^2+13x^3)(12x^2-13y^3)`

`-5t^2-11t+12`

`Delta=361>0`   has two different real solutions:

`x= (11+-sqrt(361))/(-10)`         `t_1=-3`  `t_2=4/5`

`5t^2-11t+12=(t+3)(4-5t)`

 

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oldnick | (Level 1) Valedictorian

Posted May 12, 2013 at 4:12 AM (Answer #3)

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`y(y-2)-6(2-y)=y(y-2)+6(y-2)= (y+6)(y-2)`

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