X-1/x=3,x not equal 0 find x
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x + 1x = 3⇒x2 + 1 = 3x⇒x2 − 3x + 1 = 0We have, a = 1, b = −3, c = 1Now, D = b2 − 4ac = (−3)2 − 4(1)(1) = 9 − 4 = 5 >0So, the solution of the given equation is, x = −b±D√2a⇒x = 3±5√2⇒x = 3+5√2 and x = 3−5√2
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Answer:
x = -1/2
x-1/x=3
x-1=3x
-1=2x
x=-1/2
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