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Solve this equation using the quadratic formula: 2x(x-4) - 3(x+5) = x(1-x) -16

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kristenmarieb... | Student, Grade 10 | (Level 1) Valedictorian

Posted May 2, 2013 at 11:54 PM via web

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Solve this equation using the quadratic formula:

2x(x-4) - 3(x+5) = x(1-x) -16

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 3, 2013 at 12:55 AM (Answer #1)

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The equation 2x(x-4) - 3(x+5) = x(1-x) -16 has to be solved.

2x(x-4) - 3(x+5) = x(1-x) -16

= 2x^2 - 8x - 3x - 15 = x - x^2 - 16

= 3x^2 - 12x  + 1 = 0

`x = (-12 +-sqrt(144 - 12))/6`

= `(-6+-sqrt 33)/3`

The roots of the equation `2x(x-4) - 3(x+5) = x(1-x) -16` are `(-6+-sqrt 33)/3`

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oldnick | (Level 1) Valedictorian

Posted May 3, 2013 at 2:32 AM (Answer #2)

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`2x(x-4)-3(x+5)=x(1-x)-16`

`2x^2-8x-3x-15=x-x^2-16`

`3x^2-12x+1=0`

`x^2-4x+1/3=0`

`x^2-4x+4+1/3=4`

`x^2-4x+4=11/3`

`(x-2)^2=11/3`

`x-2= +-sqrt(11/3)`

`x=2+-sqrt(11/3)`

`x_1=0.085145784487323780049796177260`

`x_2=3.9148542155126762199502038227396`

 

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