Question 201301
2y -3/2 = sqrt 729 /(4+y)
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(2y-1.5)(y+4) = 27
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2y^2 +8y -1.5y -6 -27 =0
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2y^2 +6.5y -33 =0
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Use  quadratic  eqn  to  solve
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a= 2,,,,,b= 6.5,,,,,c=-33
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y=[ -(6.5) +/- sqrt{ (6.5)^2 -4 (2)(-33) } ] /2(2)
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y= [ -6.5 +/- sqrt{ 306.25} ] /4
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y= [ -6.5 +/- 17.5] / 4
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y = -6,,+ 2.75
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check  by  inserting  in  original  eqn,,,,,ok