Question 813474: (3/x)+(x/3)=(5/2)
How would I solve this??
Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! (3/x) + (x/3) = (5/2)
(3/x)x + (x/3)x = (5/2)x
3 + (1/3)x^2 = (5/2)x
(1/3)x^2 + (-5/2)x + 3 = 0
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the above quadratic equation is in standard form, with a=1/3=0.3333333, b=2.5, and c=3
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to solve the quadratic equation, plug this:
0.3333333 2.5 3
into this: https://sooeet.com/math/quadratic-equation-solver.php
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Answer 1:
the vertex of the quadratic equation is a minimum point at: ( -3.75000038, -1.68750047 )
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Answer 2:
the quadratic equation has two real roots:
root1 = -1.49999995
root2 = -6.0000008
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Answer by MathTherapy(10556)  (Show Source):
You can put this solution on YOUR website!
(3/x)+(x/3)=(5/2)
How would I solve this??
 ------ Multiplying by LCD, 6x
(2x - 3)(x - 6) = 0
2x - 3 = 0______or_____x - 6 = 0
2x = 3_______or_______x = 0 + 6
 , or  ______or______
You can do the check!!
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