PreCalculus - Algebra Fundamental Review (18 of 80) Solving Quadratic Eqns: Fractions Ex 1

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In this video I will solving the quadratic equation with fractional expression (5/x)-(8x)/(x-5)+2=0.
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Quick question couldnt we have just used the foil method to find the result like (2X+5)(3X-5)?

hellothere
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when I do it using the foil method I come up with a different answer. x=-5/3 or x=-5/2 (negative 5 over 3 and negative 5 over 2)

MM-qkeg
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why did √-575 changed to √575? i missed that

hamids